List of papers on geometry :
Updated September 17, 2007
- Rylov Yu. A. (2007) Different conceptions of Euclidean geometry Available at http://arXiv.org/abs/0709.02755
- Rylov Yu. A. (2007) Deformation principle and further geometrization of physics Available at
http://arXiv.org/abs/0704.3003)
- Rylov Yu. A. (2007) Non-Euclidean method of the generalized geometry construction and its application to space-time geometry Available at
http://arXiv.org/abs/Math.GM/0702552)
- Rylov Yu. A. (2006) Non-Riemannian geometry as a reason of the third modification of the space-time geometry Available at
http://arXiv.org/abs/physics/0612138)
- Rylov Yu. A. (2006) Crisis in the geometry development and its social consequences (Available at
http://arXiv.org/abs/math.GM/0609765)
- Rylov Yu. A. (2005) Euclidean geometry as algorithm for construction of
generalized geometries.
- Rylov Yu. A. (2005) " Tubular geometry construction as a reason
for new revision of the space-time conception." (Printed in What is Geometry?
polimetrica Publisher, Italy, pp.201-235 http://www.polimetrica.com/polimetrica/406/
)
- Rylov Yu. A. (2005) " New crisis
in geometry?." (Available at http://arXiv.org/abs/mat.GM/0503261)
- Rylov Yu. A. (2004) "Deformation
principle as a foundations of physical geometry and its application to the
space-time geometry".Ãèïåðêîìïëåêñíûå ÷èñëà â ãåîìåòðèè è ôèçèêå 2, 69-96,
(2004).(Available at http://arXiv.org/abs/physics/0411103)
- Rylov Yu. A. (2004) "Coordinateless
description and deformation principle as a foundations of physical
geometry” . (Available at http://arXiv.org/abs/math.GM/0031260)
- Rylov Yu. A. (2003) " Deformation principle and problem of
parallelism in geometry and physics." (Modification of "Problem of
parallelism in geometry and physics")
- RylovYu.A. (2002) "Associatie delusions and problem
of their overcoming".
- Rylov Yu. A. (2002) "Asymmetric nondegenerate geometry".
Proc. of XXV workshop on the fundamental
problems on high energy physics and field theory. Protvino,
June 25-28 (2002) pp 154-190. ((Available at http://arXiv.org/abs/math.MG/0205061)
- Rylov Yu.A.
(2002) "The Euclidean geometry deformations and
capacities of their application to microcosm space-time geometry".(
Available at http://arXiv.org/abs/physics/0206017)
- Rylov Yu.A.
(2002) "Dynamics of stochastic systems and
pecularities of measurements in them". (Available at
http://arXiv.org/abs/physics/0210003).
- Rylov Yu.A.
(2002) "Restricted linear properties of scalar
product in T-geometry".
- Rylov Yu.A.
(2002) "Problem of parallelism in geometry and
physics".
- Rylov Yu.A. (2000)
"Geometry without topology" (It
is slightly modified paper "Sigma-immanent form of Euclidean
geometry...") (Available at http://arXiv.org/abs/math.MG/0002161 ).
- Rylov Yu.A.
(1999) "Sigma-immanent form of the Euclidean
geometry as a basis for non-Euclidean geometry."
- Rylov
Yu.A. (1999) "Metric space:
classification of finite subspaces instead of constraints on metric."
Proceedings on analysis and geometry, Novosibirsk, Publishing House of
Mathematical institute, 2000. pp. 481-504, (in Russian). English
version: (Available at http://arXiv.org/abs/math.MG/9905111).
- Rylov Yu.A.
(1999) "Description of metric space as a classification of its finite
subspaces."
Fundamental'naya i
Prikladnaya Matematika,
7, no.4, 1147-1175, (2001). (in Russian)
- Rylov Yu.A.
(1999) "Introduction to nondegenerate
geometry." (monograph in Russian, about
170pp)Preface in English,
Preface in English, Short
author’s review in English, Detailed author’s
review in English (Postscript
format about 20 pp).
- Rylov Yu.A. (1995): "Space-time distortion as a reason
for quantum stochasticity" in Chaos: the
interplay between stochastic and deterministiic behaviour. Eds. P.Garbachewski,
M.Wolf, A.Weron,
Karpacz'95 Proc.Lecture Notes in Physics. vol.
457, Springer, Berlin, pp. 523-529.
- Rylov Yu.A. (1991): "Non-Riemannian
model of the space-time responsible for quantum effects". Journ. Math. Phys. 32(8),
2092-2098, (1991).
- Rylov Yu.A.
(1990) "Extremal
properties of Synge's world function and
discrete geometry" . J.Math.
Phys. 31, 2876-2890.
- Rylov Yu.A.
(1970): "On connection between the energy-momentum vector and
canonical momentum in relativistic mechanics". Teoretischeskaya
i Matematischeskaya Fizika. 2, 333-337.(in Russian). Theor. and Math. Phys. (USA), 5, 333, (1970) (trnslated from Russian)
- Rylov Yu.A.
(1964): "Relative gravitational field and conservation laws in
general relativity". Ann. Phys.(Leipzig) 12, 329-353.
- Rylov Yu.A.
(1964): "Particles of half-integer spin in universal 6-dimensional
space". Vestnik Moskovskogo
Universiteta ser. fiz-astr.
No 3, 13. (in Russian)
- Rylov Yu.A.
(1963): "On universal 6-dimensional space". Vestnik Moskovskogo Universiteta ser. fiz-astr.
No 6, 23. (in Russian)
- Rylov Yu.A.
(1963): "Normal coordinates and the general relativity principle" Vestnik Moskovskogo
Universiteta ser. fiz.-astr.
No 3, 55. (in Russian)
- Rylov Yu.A.
(1962): "On relative energy of static spherically symmetric
gravitational field". VestnikMoskovskogo
Universiteta ser. fiz.
No 6, 45. (in Russian)
- Rylov Yu.A.
(1962): "On relative localization of the gravitational field". Vestnik Moskovskogo
Universiteta No.5, 70. (in Russian)
- Rylov Yu.A.
(1962): "On a possibility of the Riemannian space description in
terms of a finite interval". Izvestiya Vysshikh Uchebnych Zavedenii, Matematika.
No.3(28), 131-142. (in Russian)
- Rylov Yu.A.
(1961):"On singularity on the gravitational radius at the
Schwarzschild solution". Zhurnal Eksperimental'noi i Teoretischeskoi Fiziki. 40,
1041. (in Russian) .