9. |
Sharipov R. A. & Yamilov R. I., Backlund transformations
and the construction of the integrable boundary value problem for the equation
uxt=eu-e-2u, in book "Some
problems of mathematical physics and asymptotics of its solutions",
Institute of mathematics BNC UrO AN SSSR, 1991, 66-77. |
10. |
Sharipov R. A., Minimal tori in five-dimensional sphere in
$C^3$, TMF, 87(1991), No. 1, 48-56. |
11. |
Safin S. S. & Sharipov R. A., Backlund autotransformation
for the equation uxt=eu-e-2u, TMF, 95(1993),
No. 1, 146-159.
|
12. |
Boldin A. Yu.
& Safin S. S. & Sharipov R. A., On an old paper of Tzitzeika and the inverse
scattering method, Journal of Mathematical Physics, 34(1993), No. 12,
5801-5809. |
13. |
Boldin A. Yu.
& Sharipov R. A., Dynamical systems, accepting the normal shift, TMF,
97(1993), No. 3, 386-395, see also Preprint #0001-M of Bashkir State University. |
14. |
Boldin A. Yu.
& Sharipov R. A., Dynamical systems, accepting the normal shift, Dokladi RAN,
334(1994), No. 2, 165-167. |
15. |
Boldin A. Yu.
& Sharipov R. A., Multidimensional dynamical systems, accepting the normal shift, TMF,
100(1994), No. 2, 264-269. |
16. |
Sharipov R. A., Problem of metrizability for the dynamical systems,
accepting the normal shift, TMF, 101(1994), No. 1, 85-93. |
17. |
Sharipov R. A., Dynamical systems, accepting the normal shift,
Uspehi Mat. Nauk, 49(1994), No. 4, 105. |
18. |
Boldin A. Yu. & Dmitrieva V. V. & Safin S. S. & Sharipov R. A.,
Dynamical systems accepting the normal shift on an arbitrary Riemannian manifold,
in book: "Dynamical systems accepting the normal shift",
Bashkir State University, 1994, 4-19; see also TMF, 103(1995), No. 2, 256-266. |
19. |
Boldin A. Yu.
& Bronnikov A. A. & Dmitrieva V. V.
& Sharipov R. A., Complete normality conditions for the dynamical systems on
Riemannian manifolds, in book: "Dynamical systems accepting
the normal shift", Bashkir State University, 1994, 20-30; see also TMF, 103(1995),
No. 2, 267-275. |
20. |
Sharipov R. A., Higher dynamical systems accepting the normal
shift, in book: "Dynamical systems accepting the normal shift",
Bashkir State University, 1994, 41-65. |
28. |
Dmitrieva V. V. & Sharipov R. A., On the point transformations
for the second order differential
equations, Electronic archive http://arXiv.org, 1997, solv-int/9703003, 1-14. |
29. |
Sharipov R. A., On the point transformations for the equation $y''=P+
3Qy'+3Ry'^2+Sy'^3$, Electronic archive http://arXiv.org, 1997, solv-int/9706003, 1-35; see also
Vestnik BashGU, 1998, No. 1(I), 5-8. |
30.
| Mikhailov O. N. & Sharipov R. A., On the point expansion for
certain class of differential equations of second order, Electronic archive http://arXiv.org, 1997,
solv-int/9712001, 1-8; Diff. Uravneniya, 36(2000), No. 10, 1331-1335. |
31. |
Sharipov R. A., Effective procedure of point-classification for the
equation $y'' = P + 3Qy' + 3Ry'^2 + Sy'^3$, Electronic archive http://arXiv.org, 1998, math.DG/9802027,
1-35. |
39. |
Sharipov R. A., On the solutions of weak normality equations in
multidimensional case, Electronic archive http://arXiv.org, 2000, math.DG/0012110, 1-16.
|
40.
| Sharipov R. A., First problem of globalization in the theory of
dynamical systems admitting the normal shift of hypersurfaces, Electronic archive at
LANL, 2001, math.DG/0101150, 1-14; see also Global geometric structures associated with
dynamical systems admitting normal shift of hypersurfaces in Riemannian manifolds,
International Journal of Mathematics and
Mathematical Sciences, 30(2002) No. 9, 541-557.
|
41.
| Sharipov R. A., Second problem of globalization in the theory
of dynamical systems admitting the normal shift of hypersurfaces, Electronic archive
http://arXiv.org, 2001, math.DG/0102141, 1-21.
|
42.
| Sharipov R. A., A note on Newtonian, Lagrangian, and
Hamiltonian dynamical systems in Riemannian manifolds, Electronic archive
http://arXiv.org, 2001, math.DG/0107212, 1-21. |
43.
| Sharipov R. A., Dynamical systems admitting normal shift
and wave equations, Electronic archive http://arXiv.org, 2001, math.DG/0108158, 1-16;
see also TMF, 131(2002), No. 2, 244-260. |
44.
| Sharipov R. A., Normal shift in general Lagrangian dynamics,
Electronic archive http://arXiv.org, 2001, math.DG/0112089, 1-27. |
46.
| Sharipov R. A., Comparative analysis for pair of dynamical systems,
one of which is Lagrangian, Electronic archive http://arXiv.org, 2002, math.DG/0204161, 1-40. |
47.
| Sharipov R. A., On the concept of normal shift in non-metric geometry,
Electronic archive http://arXiv.org, 2002, math.DG/0208029, 1-47. |
48.
| Sharipov R. A., V-representation for normality equations in geometry of
generalized Legendre transformation, Electronic archive http://arXiv.org, 2002, math.DG/0210216,
1-32. |
49.
| Sharipov R. A., On the subset of normality equations describing generalized Legendre transformation,
Electronic archive http://arXiv.org, 2002, math.DG/0212059,1-19. |
50. |
Lyuksyutov S. F. & Sharipov R. A., Note on kinematics, dynamics, and thermodynamics of plastic
glassy media, Electronic archive http://arXiv.org, 2003, cond-mat/0304190, 1-19. |
51. |
Lyuksyutov S. F. & Sharipov R. A. & Sigalov G. & Paramonov P. B., Exact analytical
solution for electrostatic field produced by biased atomic force microscope tip dwelling above dielectric-conductor
bilayer, Electronic archive http://arXiv.org, 2004, cond-mat/0408247, 1-6. |
52. |
Lyuksyutov S. F. & Sharipov R. A., Separation of plastic deformations in
polymers based on elements of general nonlinear theory, Electronic archive
http://arXiv.org, 2004, cond-mat/0408433, 1-4. |
53. |
Comer J. & Sharipov R. A., A note on the kinematics of dislocations in crystals, Electronic
archive http://arXiv.org, 2004, math-ph/0410006, 1-15. |
54.
| Sharipov R. A., Gauge or not gauge? Electronic
archive http://arXiv.org, 2004, cond-mat/0410552,
1-12. |
55.
| Sharipov R. A., Burgers space versus real space in the nonlinear theory of dislocations, Electronic
archive http://arXiv.org, 2004, cond-mat/0411148,
1-10. |
56.
| Comer J. & Sharipov R. A., On the geometry of a dislocated medium, Electronic
archive http://arXiv.org, 2005, math-ph/0502007,
1-17. |
59.
| Sharipov R. A., Spinor functions of spinors and the concept of extended spinor fields, Electronic
archive http://arXiv.org, 2005,
math.DG/0511350, 1-56. |
60.
| Sharipov R. A., Commutation relationships and curvature spin-tensors for extended spinor connections, Electronic
archive http://arXiv.org, 2005,
math.DG/0512396, 1-22. |
61.
| Sharipov R. A., A note on Dirac spinors in a non-flat space-time of general relativity, Electronic
archive http://arXiv.org, 2006,
math.DG/0601262, 1-22. |
62.
| Sharipov R. A., A note on metric connections for chiral and Dirac spinors, Electronic
archive http://arXiv.org, 2006,
math.DG/0602359, 1-40. |
63.
| Sharipov R. A., On the Dirac equation in a gravitation field
and the secondary quantization, Electronic archive http://arXiv.org, 2006, math.DG/0603367,
1-10. |
64.
| Sharipov R. A., The electro-weak and color bundles for the
Standard Model in a gravitation field, Electronic archive
http://arXiv.org, 2006,
math.DG/0603611, 1-8. |
65. | Sharipov
R. A., A note on connections of the Standard Model in a gravitation
field, Electronic archive http://arXiv.org,
2006, math.DG/0604145, 1-11. |
66. | Sharipov
R. A., A note on the Standard Model in a gravitation field, Electronic archive http://arXiv.org,
2006, math.DG/0605709, 1-36. |
70.
| Sharipov R. A., Comparison of two formulas for metric connections
in the bundle of Dirac spinors, Electronic archive http://arXiv.org,
2007, 0707.0482 [math.DG], 1-16. |
71.
| Sharipov R. A., On the spinor structure of the homogeneous and isotropic universe in closed model, Electronic archive http://arXiv.org,
2007, 0708.1171 [math.DG], 1-25. |
72.
| Sharipov R. A., On Killing vector fields of a homogeneous and isotropic universe in closed model, Electronic archive http://arXiv.org,
2007, 0708.2508 [math.DG], 1-19. |
73.
| Sharipov R. A., On deformations of metrics and their associated spinor structures, Electronic archive http://arXiv.org,
2007, 0709.1460 [math.DG], 1-22. |
84.
| Sharipov R. A., A note on a perfect Euler cuboid,
Electronic archive http://arXiv.org,
2011, 1104.1716 [math.NT], 1-8. |
85.
| Sharipov R. A., A note on the Sopfr(n) function,
Electronic archive http://arXiv.org,
2011, 1104.5235 [math.NT], 1-7. |
86.
| Sharipov R. A., Perfect cuboids and irreducible polynomials,
Electronic archive http://arXiv.org,
2011, 1108.5348 [math.NT], 1-8. |
87.
| Sharipov R. A., A note on the first cuboid conjecture,
Electronic archive http://arXiv.org,
2011, 1109.2534 [math.NT], 1-6. |
88.
| Sharipov R. A., A note on the second cuboid conjecture. Part I,
Electronic archive http://arXiv.org,
2012, 1201.1229 [math.NT], 1-10. |
89.
| Sharipov R. A., A note on the third cuboid conjecture. Part I,
Electronic archive http://arXiv.org,
2012, 1203.2567 [math.NT], 1-34. |
90.
| Sharipov R. A., Perfect cuboids and multisymmetric polynomials,
Electronic archive http://arXiv.org,
2012, 1205.3135 [math.NT], 1-12. |
91.
| Sharipov R. A., On an ideal of multisymmetric polynomials
associated with perfect cuboids,
Electronic archive http://arXiv.org,
2012, 1206.6769 [math.NT], 1-17. |
92.
| Sharipov R. A., On the equivalence of cuboid equations and
their factor equations,
Electronic archive http://arXiv.org,
2012, 1207.2102 [math.NT], 1-11. |
93.
| Sharipov R. A., A biquadratic Diophantine equation
associated with perfect cuboids,
Electronic archive http://arXiv.org,
2012, 1207.4081 [math.NT], 1-17. |
94.
| Ramsden J. R., Sharipov R. A., Inverse problems associated
with perfect cuboids,
Electronic archive http://arXiv.org,
2012, 1207.6764 [math.NT], 1-11. |
95.
| Sharipov R. A., On a pair of cubic equations associated
with perfect cuboids, Electronic archive
http://arXiv.org,
2012, 1208.0308 [math.NT], 1-15. |
96.
| Sharipov R. A., On two elliptic curves associated with
perfect cuboids, Electronic archive
http://arXiv.org,
2012, 1208.1227 [math.NT], 1-11. |
97.
| Ramsden J. R., Sharipov R. A., On singularities of the inverse
problems associated with perfect cuboids, Electronic archive
http://arXiv.org,
2012, 1208.1859 [math.NT], 1-6. |
98.
| Ramsden J. R., Sharipov R. A., On two algebraic
parametrizations for rational solutions of the cuboid equations,
Electronic archive
http://arXiv.org,
2012, 1208.2587 [math.NT], 1-17. |
99.
| Sharipov R. A., A note on solutions of the
cuboid factor equations, Electronic archive
http://arXiv.org,
2012, 1209.0723 [math.NT], 1-15. |
100.
| Sharipov R. A., A note on rational and elliptic
curves associated with the cuboid factor equations,
Electronic archive
http://arXiv.org,
2012, 1209.5706 [math.NT], 1-15. |
101.
| Ramsden J. R., Sharipov R. A., Two and three descent
for elliptic curves associated with perfect cuboids,
Electronic archive
http://arXiv.org,
2013, 1303.0765 [math.NT], 1-37. |
106.
| Masharov A. A., Sharipov R. A., A strategy of numeric search for
perfect cuboids in the case of the second cuboid conjecture,
Electronic archive http://arXiv.org,
2015, 1504.07161 [math.NT], 1-21. |
107.
| Sharipov R. A., Reverse asymptotic estimates for roots of the
cuboid characteristic equation in the case of the second cuboid
conjecture, Electronic archive
http://arXiv.org,
2015, 1505.00724 [math.NT], 1-17. |
108.
| Sharipov R. A., Asymptotic estimates for roots of the cuboid
characteristic equation in the linear region, Electronic archive
http://arXiv.org,
2015, 1505.02745 [math.NT], 1-17. |
109.
| Sharipov R. A., Asymptotic estimates for roots of the cuboid
characteristic equation in the nonlinear region, Electronic archive
http://arXiv.org,
2015, 1506.04705 [math.NT], 1-24. |
110. |
Sharipov R. A., Asymptotic approach to the perfect cuboid problem, Ufa Math. Journal, 7(2015), No. 3, 100-113. |
111.
| Sharipov R. A., A note on invertible quadratic transformations of the real plane,
Electronic archive http://arXiv.org, 2015, 1507.01861 [math.AG], 1-21. |
112.
| Sharipov R. A., On some higher degree sign-definite multivariate polynomials associated
with definite quadratic forms, Electronic archive http://arXiv.org,
2015, 1507.05056 [math.AG], 1-5. |
113.
| Sharipov R. A., On positive bivariate quartic forms, Electronic archive http://arXiv.org,
2015, 1507.07125 [math.AG], 1-14. |
114.
| Sharipov R. A., Multiple discriminants and critical values of a multivariate
polynomial, Electronic archive http://arXiv.org,
2015, 1508.00551 [math.AG], 1-10. |
115.
| Sharipov R. A., On quartic forms associated with cubic transformations of the real plane,
Electronic archive http://arXiv.org,
2015, 1508.03005 [math.AG], 1-10. |
116.
| Sharipov R. A., A rough classification of potentially invertible cubic transformations
of the real plane, Electronic archive http://arXiv.org,
2015, 1508.04703 [math.AG], 1-8. |
133.
| Sharipov R. A., A note on electromagnetic energy in the
context of cosmology, Electronic archive
https://vixra.org,
2022, 2207.0092 [Relativity and Cosmology], 1-11. |
134.
| Sharipov R. A., A three-dimensional brane universe in a four-dimensional
spacetime with a Big Bang, Electronic archive
https://vixra.org,
2022, 2207.0173 [Relativity and Cosmology], 1-10. |
135.
| Sharipov R. A., Lagrangian approach to deriving the gravity equations for a 3D-brane universe, Electronic archive
https://vixra.org,
2023, 2301.0033 [Relativity and Cosmology], 1-12. |
136.
| Sharipov R. A., Hamiltonian approach to deriving the gravity equations for a 3D-brane universe, Electronic archive
https://vixra.org,
2023, 2302.0120 [Relativity and Cosmology], 1-21. |
137.
| Sharipov R. A., Energy conservation law for the gravitational field in a 3D-brane universe, Electronic archive
https://vixra.org,
2023, 2303.0123 [Relativity and Cosmology], 1-12. |
138.
| Sharipov R. A., Speed of gravity can be different from the speed of light, Electronic archive
https://vixra.org,
2023, 2304.0225 [Relativity and Cosmology], 1-18. |
139.
| Sharipov R. A., On superluminal non-baryonic matter in a 3D-brane universe, Electronic archive
https://vixra.org,
2023, 2305.0113 [Relativity and Cosmology], 1-7. |
140.
| Sharipov R. A., 3D-brane gravity without equidistance postulate, Electronic archive
https://vixra.org,
2023, 2306.0104 [Relativity and Cosmology], 1-14. |
141.
| Sharipov R. A., Lagrangian approach to deriving the gravity equations in a 3D-brane universe without
equidistance postulate, Electronic archive https://vixra.org,
2023, 2307.0039 [Relativity and Cosmology], 1-18. |
142.
| Sharipov R. A., Superluminal non-baryonic particles in a 3D-brane universe without equidistance
postulate, Electronic archive https://vixra.org,
2023, 2307.0072 [Relativity and Cosmology], 1-11. |
143.
| Sharipov R. A., Energy conservation law for the gravitational field in a 3D-brane universe without
equidistance postulate, Electronic archive https://vixra.org,
2023, 2308.0175 [Relativity and Cosmology], 1-20. |
1. |
Sharipov R. A., Theory of representations of finite groups,
Bash-NII-Stroy, Ufa, 1995 (both English
and Russian versions are now available on-line).
|
2. |
Sharipov R. A., Course of linear algebra and multidimensional
geometry, Bashkir State University, Ufa, 1996,
(both English and
Russian versions of the book are now available on-line).
|
3. |
Sharipov R. A., Course of differential geometry,
Bashkir State University, Ufa, 1996 (both English
and Russian versions of the book are now
available on-line).
|
4. |
Sharipov R. A., Classical electrodynamics and theory
of relativity, Bashkir State University, Ufa, 1996
(both English and
Russian versions of the book are now available on-line).
|
5. |
Sharipov R. A. Foundations of geometry
for university students and high-school students, Bashkir State University, 1998
(both English and
Russian versions of the book are now available on-line).
|
6. |
Sharipov R. A. Quick introduction to tensor analysis,
free on-line textbook, 2004
(both English and
Russian versions are now available).
|
7. |
Sharipov R. A. Course of analytical geometry,
Bashkir State University, 2010
(both English
and Russian versions are now available).
|
8. |
Sharipov R. A., 3D-brane universe model, 2024
(electronic book in Russian).
|