List of papers on geometry :

Updated December 16, 2008

• Rylov Yu. A. (2008) Some subtleties of Riemannian geometry Available at http://arXiv.org/abs/0812.2833
• Rylov Yu. A. (2008) Generalization of relativistic particle dynamics on the case of non-Riemannian space-time geometry Available at http://arXiv.org/abs/0811.4562
• Rylov Yu. A. (2008) Granular geometry of space-time as a result of Newtonian investigation strategy
• Rylov Yu. A. (2008) Why does the Standard Model fail to explain the elementary particles structure? Available at http://arXiv.org/abs/0810.0982
• Rylov Yu. A. (2008) Discriminating properties of the space-time compactification Available at http://arXiv.org/abs/0809.2516
• Rylov Yu. A. (2008) Geometries with intransitive equivalence relation Available at http://arXiv.org/abs/0807.2034
• Rylov Yu. A. (2008) Multivariance as a crucial property of microcosm Available at http://arXiv.org/abs/0806.1716
• Rylov Yu. A. (2008) Geometrical dynamics: spin as a result of rotation with superluminal speed Available at http://arXiv.org/abs/0801.1913
• Rylov Yu. A. (2007) Discrimination of particle masses in multivariant space-time geometry Available at http://arXiv.org/abs/0712.1335
• 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).

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• 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, (1990).
• 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) .