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".Гиперкомплексные числа в геометрии и физике 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) .