Edit Profile (opens in new tab) Berestovskiĭ, Valeriĭ Nikolaevich Co-Author Distance Author ID: berestovskii.valerii-nikolaevich Published as: Berestovskij, V. N.; Berestovskii, V. N.; Berestovskiĭ, V. N.; Berestovskii, Valerii N.; Berestovskiĭ, Valeriĭ Nikolaevich; Berestovskii, Valerii Nikolaevich; Berestovskiĭ, Valeriĭ N.; Berestovskii, Valerii; Berestovski, V. N.; Berestovskĭ, V. N. more...less External Links: MGP · ORCID · Math-Net.Ru Documents Indexed: 113 Publications since 1976, including 2 Books and 4 Additional arXiv Preprints Co-Authors: 17 Co-Authors with 58 Joint Publications 617 Co-Co-Authors all top 5 Co-Authors 54 single-authored 22 Nikonorov, Yurii Gennadyevich 17 Zubareva, Irina Aleksandrovna 3 Gorbatsevich, Vladimir Vital’evich 3 Nikolaev, Igor Georgievich 3 Svirkin, V. M. 2 Gichev, Victor M. 2 Plaut, Conrad P. 1 Aleksandrov, Aleksandr Danilovich 1 Andreev, Pavel Dmitrievich 1 Bumina, E. A. 1 Davydova, E. V. 1 Guijarro, Luis 1 Halverson, Denise M. 1 Nikitenko, Evgenii Vitalevich 1 Repovš, Dušan D. 1 Vershik, Anatoliĭ Moiseevich 1 Vol’per, D. E. all top 5 Serials 30 Siberian Mathematical Journal 11 Matematicheskie Trudy 8 Sibirskiĭ Matematicheskiĭ Zhurnal 5 Journal of Mathematical Sciences (New York) 4 Soviet Mathematics. Doklady 4 Russian Mathematics 4 St. Petersburg Mathematical Journal 3 Annals of Global Analysis and Geometry 3 Differential Geometry and its Applications 3 Doklady Mathematics 2 Siberian Advances in Mathematics 2 Sbornik: Mathematics 2 Vestnik Omskogo Universiteta 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 Illinois Journal of Mathematics 1 Journal of Differential Geometry 1 Matematicheskaya Fizika, Analiz, Geometriya 1 Izvestiya: Mathematics 1 Transformation Groups 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Chebyshevskiĭ Sbornik 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Journal of Generalized Lie Theory and Applications 1 Uchenye Zapiski Kazanskogo Gosudarstvennogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Analysis and Mathematical Physics 1 European Journal of Mathematics 1 Springer Monographs in Mathematics 1 Itogi Nauki. Yug Rossii. Matematicheskaya Monografiya all top 5 Fields 97 Differential geometry (53-XX) 17 Topological groups, Lie groups (22-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Manifolds and cell complexes (57-XX) 8 Geometry (51-XX) 7 General topology (54-XX) 6 Convex and discrete geometry (52-XX) 5 Group theory and generalizations (20-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 587 times in 312 Documents Cited by ▼ Year ▼ A metric characterization of Riemannian submersions. Zbl 0992.53025 Berestovskij, V. N.; Guijarro, Luis 40 2000 Clifford-Wolf homogeneous Riemannian manifolds. Zbl 1179.53043 Berestovskii, Valerii N.; Nikonorov, Yurii G. 38 2009 Killing vector fields of constant length on locally symmetric Riemannian manifolds. Zbl 1151.53046 Berestovskiĭ, V. N.; Nikonorov, Yu. G. 32 2008 Homogeneous manifolds with an intrinsic metric. I. Zbl 0671.53036 Berestovskij, V. N. 28 1988 On \(\delta \)-homogeneous Riemannian manifolds. Zbl 1155.53022 Berestovskiĭ, V. N.; Nikonorov, Yu. G. 25 2008 Generalized Riemannian spaces. Zbl 0625.53059 Aleksandrov, A. D.; Berestovskij, V. N.; Nikolaev, I. G. 24 1986 Riemannian manifolds and homogeneous geodesics. Zbl 1460.53001 Berestovskii, Valerii; Nikonorov, Yurii 24 2020 Homogeneous manifolds with intrinsic metric. II. Zbl 0681.53029 Berestovskij, V. N. 23 1989 Homogeneous manifolds with intrinsic metric. I. Zbl 0686.53041 Berestovskij, V. N. 16 1988 Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group \(\mathrm{SO}(3)\). Zbl 1327.53033 Berestovskiĭ, V. N.; Zubareva, I. A. 15 2015 Generalized normal homogeneous Riemannian metrics on spheres and projective spaces. Zbl 1410.53054 Berestovskiĭ, Valeriĭ Nikolaevich; Nikonorov, Yuriĭ Gennadievich 15 2014 Shapes of spheres of special nonholonomic left-invariant intrinsic metrics on some Lie groups. Zbl 0996.53036 Berestovskij, V. N.; Zubareva, I. A. 14 2001 Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group \(\mathrm{SL}(2)\). Zbl 1347.53028 Berestovskiĭ, V. N.; Zubareva, I. A. 14 2016 Multidimensional generalized Riemannian spaces. Zbl 0781.53049 Berestovskij, V. N.; Nikolaev, I. G. 12 1992 Universal methods of the search of normal geodesics on Lie groups with left-invariant sub-Riemannian metric. Zbl 1311.53033 Berestovskĭ, V. N. 12 2014 Metrized left invariant orders on topological groups. Zbl 0948.22004 Berestovskii, V. N.; Gichev, V. M. 10 1999 Killing vector fields of constant length on Riemannian manifolds. Zbl 1164.53346 Berestovskij, V. N.; Nikonorov, Yu. G. 10 2008 Structure of homogeneous locally compact spaces with intrinsic metric. Zbl 0694.53046 Berestovskij, V. N. 10 1989 Sub-Riemannian distance in the Lie groups SU(2) and SO(3). Zbl 1374.53058 Berestovskiĭ, V. N.; Zubareva, I. A. 10 2015 Submetries of space forms of nonnegative curvature. Zbl 0643.53053 Berestovskij, V. N. 8 1987 Homogeneous Riemannian manifolds of positive Ricci curvature. Zbl 0862.53040 Berestovskij, V. N. 8 1995 Pathologies in Alexandrov spaces with curvature bounded above. Zbl 1051.57029 Berestovskii, V. N. 8 2002 (Locally) shortest arcs of a special sub-Riemannian metric on the Lie group \(\mathrm{SO}_0(2,1)\). Zbl 1335.53038 Berestovskiĭ, V. N. 8 2016 The Laplace operator on normal homogeneous Riemannian manifolds. Zbl 1249.53049 Berestovskiĭ, V. N.; Svirkin, V. M. 7 2009 Geodesics of a left-invariant nonholonomic Riemannian metric on the group of motions of the Euclidean plane. Zbl 0866.58022 Berestovskij, V. N. 7 1994 Spaces with bounded curvature and distance geometry. Zbl 0612.53047 Berestovskij, V. N. 7 1986 Curvatures of homogeneous sub-Riemannian manifolds. Zbl 1383.53025 Berestovskii, Valerii N. 7 2017 On homogeneous geodesics and weakly symmetric spaces. Zbl 1414.53025 Berestovskiĭ, Valeriĭ Nikolaevich; Nikonorov, Yuriĭ Gennadievich 7 2019 Covering \(\mathbb R\)-trees, \(\mathbb R\)-free groups, and dendrites. Zbl 1207.57004 Berestovskiĭ, V. N.; Plaut, C. P. 7 2010 Continued fractions, the group \(GL(2, \mathbb Z)\), and Pisot numbers. Zbl 1249.11011 Berestovskij, V. N.; Nikonorov, Yu. G. 6 2007 Locally isometric coverings of the Lie group \(\mathrm{SO}_0(2,1)\) with special sub-Riemannian metric. Zbl 1365.53037 Berestovskii, Valerii N.; Zubareva, Irina A. 6 2016 The Chebyshev norm on the Lie algebra of the motion group of a compact homogeneous Finsler manifold. Zbl 1182.53045 Berestovskii, V. N.; Nikonorov, Yu. G. 5 2009 On \(\delta \)-homogeneous Riemannian manifolds. Zbl 1187.53054 Berestovskii, V. N.; Nikonorov, Yu. G. 5 2007 Manifolds with intrinsic metric, and nonholonomic spaces. Zbl 0765.53033 Berestovskij, V. N.; Vershik, A. M. 5 1992 Sub-Riemannian distance on the Lie group \(\mathrm{SL}(2)\). Zbl 1369.53022 Berestovskiĭ, V. N.; Zubareva, I. A. 5 2017 Finite homogeneous metric spaces. Zbl 1431.51008 Berestovskii, V. N.; Nikonorov, Yu. G. 5 2019 Similarly homogeneous locally complete spaces with an intrinsic metric. Zbl 1497.53086 Berestovskii, V. N. 5 2004 Homogeneous Buseman G-spaces. Zbl 0516.53059 Berestovskij, V. N. 4 1982 Borsuk’s problem on the metrization of a polyhedron. Zbl 0534.52005 Berestovskij, V. N. 4 1983 The spectrum of the Laplace operator on compact simply connected Lie groups of rank two. Zbl 1216.53041 Berestovskii, V. N.; Svirkin, V. M. 4 2009 Classification of generalized normal homogeneous Riemannian manifolds of positive Euler characteristic. Zbl 1219.53035 Berestovski, V. N.; Nikitenko, E. V.; Nikonorov, Yu. G. 4 2011 Busemann spaces with upper-bounded Aleksandrov curvature. Zbl 1047.53048 Berestovskiĭ, V. N. 4 2003 Sub-Riemannian distance on the Lie group \(\operatorname {SO}_0(2,1)\). Zbl 1375.53043 Berestovskiĭ, V. N.; Zubareva, I. A. 4 2017 Riemannian manifolds and homogeneous geodesics. (Римановы многообразия и однородные геодезические.) Zbl 1269.53001 Berestovskij, V. N.; Nikonorov, Yu. G. 4 2012 Geodesics of nonholonomic left-invariant intrinsic metrics on the Heisenberg group and isoperimetric curves on the Minkowski plane. Zbl 0834.53049 Berestovskij, V. N. 3 1994 Dimensions of \(\mathbb R\)-trees and self-similar fractal spaces of nonpositive curvature. Zbl 1249.53060 Andreev, P. D.; Berestovskij, V. N. 3 2006 Generalized symmetric spaces. Zbl 0595.53065 Berestovskij, V. N. 3 1985 Spaces with bounded curvature and distance geometry. Zbl 0596.53059 Berestovskij, V. N. 3 1986 Compact homogeneous manifolds with integrable invariant distributions, and scalar curvature. Zbl 0872.53033 Berestovskij, V. N. 3 1995 On Clifford-Wolf homogeneous Riemannian manifolds. Zbl 1230.53047 Berestovskii, V. N.; Nikonorov, Yu. G. 3 2008 Homogeneous spaces with inner metric and with integrable invariant distributions. Zbl 1316.53035 Berestovskii, V. N.; Gorbatsevich, V. V. 3 2014 Isometries in Aleksandrov spaces of curvature bounded above. Zbl 1027.53040 Berestovskiĭ, V. N. 3 2002 Generalized normal homogeneous spheres. Zbl 1285.53039 Berestovskiĭ, V. N. 3 2013 PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups. Zbl 1481.53042 Berestovskiĭ, Valeriĭ Nikolaevich; Zubareva, Irina Aleksandrovna 3 2020 On Urysohn’s \(\mathbb{R}\)-tree. Zbl 1422.54035 Berestovskii, V. N. 3 2019 Homogeneous spaces with an intrinsic metric. Zbl 0671.53037 Berestovskij, V. N. 2 1988 Manifolds with intrinsic metric with one-side bounded curvature in the sense of A. D. Aleksandrov. Zbl 0838.53032 Berestovskij, V. N. 2 1994 Regular and quasiregular isometric flows on Riemannian manifolds. Zbl 1249.53048 Berestovskij, V. N.; Nikonorov, Yu. G. 2 2007 Locally \(G\)-homogeneous Busemann \(G\)-spaces. Zbl 1238.53059 Berestovskiĭ, V. N.; Halverson, Denise M.; Repovš, Dušan 2 2011 Ultrametric spaces. Zbl 0984.54040 Berestovskii, V. N. 2 2000 A metric characterization of Riemannian submersions for A. D. Alexandrov manifolds of bounded curvature. Zbl 1113.53306 Berestovskii, V. N. 2 2003 Introduction of a Riemann structure into certain metric spaces. Zbl 0325.53059 Berestovskij, V. N. 2 1976 The finite-dimensionality problem for Busemann G-spaces. Zbl 0409.53049 Berestovskij, V. N. 2 1977 The spectra of the Laplace operators on connected compact simple Lie groups of rank 3. Zbl 1374.53059 Berestovskiĭ, V. N.; Zubareva, I. A.; Svirkin, V. M. 2 2016 Poincaré conjecture and related statements. Zbl 1149.57311 Berestovskii, V. N. 2 2007 Semiregular Gosset polytopes. Zbl 1528.52006 Berestovskii, Valerii N.; Nikonorov, Yurii G. 2 2022 Extremals of a left-invariant sub-Finsler metric on the Engel group. Zbl 1455.53087 Berestovskii, V. N.; Zubareva, I. A. 2 2020 On \(\delta\)-homogeneous Riemannian manifolds. II. Zbl 1224.53085 Berestovskij, V. N.; Nikonorov, Yu. G. 1 2009 A. D. Alexandrov’s length manifolds with one-sided bounded curvature. Zbl 0965.53026 Berestovskij, V. N. 1 1996 On a problem by V. A. Toponogov. Zbl 1249.26027 Berestovskij, V. N. 1 2010 Metrized semigroups. Zbl 1063.22007 Berestovskii, V. N.; Gichev, V. M. 1 2001 Many-dimensional generalized Riemannian spaces. Zbl 0737.53058 Berestovskiĭ, V. N.; Nikolaev, I. G. 1 1989 A class of \(U(n)\)-invariant Riemannian metrics on manifolds diffeomorphic to odd-dimensional spheres. Zbl 0815.53057 Berestovskij, V. N.; Vol’per, D. E. 1 1993 Functions with (non)time-like gradient on a spacetime. Zbl 1374.53099 Berestovskiĭ, V. N.; Zubareva, I. A. 1 2014 Correct observer’s event horizon in de Sitter space-time. Zbl 1345.51006 Berestovskii, Valerii Nikolaevich; Zubareva, Irina Aleksandrovna 1 2015 Zonal spherical functions on CROSS’s and special functions. Zbl 1253.53055 Berestovskiĭ, V. N. 1 2012 Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups. Zbl 1472.53085 Berestovskii, V. N.; Zubareva, I. A. 1 2021 Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups with three-dimensional generating distributions. Zbl 1501.53039 Berestovskii, V. N.; Zubareva, I. A. 1 2022 On finite homogeneous metric spaces. Zbl 1513.54095 Berestovskiĭ, Valeriĭ N.; Nikonorov, Yuri ĭ G. 1 2022 Generalized normal homogeneous spheres \(S^{4n+3}\) with greatest connected motion group \(\mathrm{Sp}{(n+1)\cdot \mathrm{U}(1)}\). Zbl 1285.53040 Berestovskiĭ, V. N. 1 2013 Geodesics and curvatures of special sub-Riemannian metrics on Lie groups. Zbl 1395.53033 Berestovskii, V. N. 1 2018 Semiregular Gosset polytopes. Zbl 1528.52006 Berestovskii, Valerii N.; Nikonorov, Yurii G. 2 2022 Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups with three-dimensional generating distributions. Zbl 1501.53039 Berestovskii, V. N.; Zubareva, I. A. 1 2022 On finite homogeneous metric spaces. Zbl 1513.54095 Berestovskiĭ, Valeriĭ N.; Nikonorov, Yuri ĭ G. 1 2022 Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups. Zbl 1472.53085 Berestovskii, V. N.; Zubareva, I. A. 1 2021 Riemannian manifolds and homogeneous geodesics. Zbl 1460.53001 Berestovskii, Valerii; Nikonorov, Yurii 24 2020 PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups. Zbl 1481.53042 Berestovskiĭ, Valeriĭ Nikolaevich; Zubareva, Irina Aleksandrovna 3 2020 Extremals of a left-invariant sub-Finsler metric on the Engel group. Zbl 1455.53087 Berestovskii, V. N.; Zubareva, I. A. 2 2020 On homogeneous geodesics and weakly symmetric spaces. Zbl 1414.53025 Berestovskiĭ, Valeriĭ Nikolaevich; Nikonorov, Yuriĭ Gennadievich 7 2019 Finite homogeneous metric spaces. Zbl 1431.51008 Berestovskii, V. N.; Nikonorov, Yu. G. 5 2019 On Urysohn’s \(\mathbb{R}\)-tree. Zbl 1422.54035 Berestovskii, V. N. 3 2019 Geodesics and curvatures of special sub-Riemannian metrics on Lie groups. Zbl 1395.53033 Berestovskii, V. N. 1 2018 Curvatures of homogeneous sub-Riemannian manifolds. Zbl 1383.53025 Berestovskii, Valerii N. 7 2017 Sub-Riemannian distance on the Lie group \(\mathrm{SL}(2)\). Zbl 1369.53022 Berestovskiĭ, V. N.; Zubareva, I. A. 5 2017 Sub-Riemannian distance on the Lie group \(\operatorname {SO}_0(2,1)\). Zbl 1375.53043 Berestovskiĭ, V. N.; Zubareva, I. A. 4 2017 Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group \(\mathrm{SL}(2)\). Zbl 1347.53028 Berestovskiĭ, V. N.; Zubareva, I. A. 14 2016 (Locally) shortest arcs of a special sub-Riemannian metric on the Lie group \(\mathrm{SO}_0(2,1)\). Zbl 1335.53038 Berestovskiĭ, V. N. 8 2016 Locally isometric coverings of the Lie group \(\mathrm{SO}_0(2,1)\) with special sub-Riemannian metric. Zbl 1365.53037 Berestovskii, Valerii N.; Zubareva, Irina A. 6 2016 The spectra of the Laplace operators on connected compact simple Lie groups of rank 3. Zbl 1374.53059 Berestovskiĭ, V. N.; Zubareva, I. A.; Svirkin, V. M. 2 2016 Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group \(\mathrm{SO}(3)\). Zbl 1327.53033 Berestovskiĭ, V. N.; Zubareva, I. A. 15 2015 Sub-Riemannian distance in the Lie groups SU(2) and SO(3). Zbl 1374.53058 Berestovskiĭ, V. N.; Zubareva, I. A. 10 2015 Correct observer’s event horizon in de Sitter space-time. Zbl 1345.51006 Berestovskii, Valerii Nikolaevich; Zubareva, Irina Aleksandrovna 1 2015 Generalized normal homogeneous Riemannian metrics on spheres and projective spaces. Zbl 1410.53054 Berestovskiĭ, Valeriĭ Nikolaevich; Nikonorov, Yuriĭ Gennadievich 15 2014 Universal methods of the search of normal geodesics on Lie groups with left-invariant sub-Riemannian metric. Zbl 1311.53033 Berestovskĭ, V. N. 12 2014 Homogeneous spaces with inner metric and with integrable invariant distributions. Zbl 1316.53035 Berestovskii, V. N.; Gorbatsevich, V. V. 3 2014 Functions with (non)time-like gradient on a spacetime. Zbl 1374.53099 Berestovskiĭ, V. N.; Zubareva, I. A. 1 2014 Generalized normal homogeneous spheres. Zbl 1285.53039 Berestovskiĭ, V. N. 3 2013 Generalized normal homogeneous spheres \(S^{4n+3}\) with greatest connected motion group \(\mathrm{Sp}{(n+1)\cdot \mathrm{U}(1)}\). Zbl 1285.53040 Berestovskiĭ, V. N. 1 2013 Riemannian manifolds and homogeneous geodesics. (Римановы многообразия и однородные геодезические.) Zbl 1269.53001 Berestovskij, V. N.; Nikonorov, Yu. G. 4 2012 Zonal spherical functions on CROSS’s and special functions. Zbl 1253.53055 Berestovskiĭ, V. N. 1 2012 Classification of generalized normal homogeneous Riemannian manifolds of positive Euler characteristic. Zbl 1219.53035 Berestovski, V. N.; Nikitenko, E. V.; Nikonorov, Yu. G. 4 2011 Locally \(G\)-homogeneous Busemann \(G\)-spaces. Zbl 1238.53059 Berestovskiĭ, V. N.; Halverson, Denise M.; Repovš, Dušan 2 2011 Covering \(\mathbb R\)-trees, \(\mathbb R\)-free groups, and dendrites. Zbl 1207.57004 Berestovskiĭ, V. N.; Plaut, C. P. 7 2010 On a problem by V. A. Toponogov. Zbl 1249.26027 Berestovskij, V. N. 1 2010 Clifford-Wolf homogeneous Riemannian manifolds. Zbl 1179.53043 Berestovskii, Valerii N.; Nikonorov, Yurii G. 38 2009 The Laplace operator on normal homogeneous Riemannian manifolds. Zbl 1249.53049 Berestovskiĭ, V. N.; Svirkin, V. M. 7 2009 The Chebyshev norm on the Lie algebra of the motion group of a compact homogeneous Finsler manifold. Zbl 1182.53045 Berestovskii, V. N.; Nikonorov, Yu. G. 5 2009 The spectrum of the Laplace operator on compact simply connected Lie groups of rank two. Zbl 1216.53041 Berestovskii, V. N.; Svirkin, V. M. 4 2009 On \(\delta\)-homogeneous Riemannian manifolds. II. Zbl 1224.53085 Berestovskij, V. N.; Nikonorov, Yu. G. 1 2009 Killing vector fields of constant length on locally symmetric Riemannian manifolds. Zbl 1151.53046 Berestovskiĭ, V. N.; Nikonorov, Yu. G. 32 2008 On \(\delta \)-homogeneous Riemannian manifolds. Zbl 1155.53022 Berestovskiĭ, V. N.; Nikonorov, Yu. G. 25 2008 Killing vector fields of constant length on Riemannian manifolds. Zbl 1164.53346 Berestovskij, V. N.; Nikonorov, Yu. G. 10 2008 On Clifford-Wolf homogeneous Riemannian manifolds. Zbl 1230.53047 Berestovskii, V. N.; Nikonorov, Yu. G. 3 2008 Continued fractions, the group \(GL(2, \mathbb Z)\), and Pisot numbers. Zbl 1249.11011 Berestovskij, V. N.; Nikonorov, Yu. G. 6 2007 On \(\delta \)-homogeneous Riemannian manifolds. Zbl 1187.53054 Berestovskii, V. N.; Nikonorov, Yu. G. 5 2007 Regular and quasiregular isometric flows on Riemannian manifolds. Zbl 1249.53048 Berestovskij, V. N.; Nikonorov, Yu. G. 2 2007 Poincaré conjecture and related statements. Zbl 1149.57311 Berestovskii, V. N. 2 2007 Dimensions of \(\mathbb R\)-trees and self-similar fractal spaces of nonpositive curvature. Zbl 1249.53060 Andreev, P. D.; Berestovskij, V. N. 3 2006 Similarly homogeneous locally complete spaces with an intrinsic metric. Zbl 1497.53086 Berestovskii, V. N. 5 2004 Busemann spaces with upper-bounded Aleksandrov curvature. Zbl 1047.53048 Berestovskiĭ, V. N. 4 2003 A metric characterization of Riemannian submersions for A. D. Alexandrov manifolds of bounded curvature. Zbl 1113.53306 Berestovskii, V. N. 2 2003 Pathologies in Alexandrov spaces with curvature bounded above. Zbl 1051.57029 Berestovskii, V. N. 8 2002 Isometries in Aleksandrov spaces of curvature bounded above. Zbl 1027.53040 Berestovskiĭ, V. N. 3 2002 Shapes of spheres of special nonholonomic left-invariant intrinsic metrics on some Lie groups. Zbl 0996.53036 Berestovskij, V. N.; Zubareva, I. A. 14 2001 Metrized semigroups. Zbl 1063.22007 Berestovskii, V. N.; Gichev, V. M. 1 2001 A metric characterization of Riemannian submersions. Zbl 0992.53025 Berestovskij, V. N.; Guijarro, Luis 40 2000 Ultrametric spaces. Zbl 0984.54040 Berestovskii, V. N. 2 2000 Metrized left invariant orders on topological groups. Zbl 0948.22004 Berestovskii, V. N.; Gichev, V. M. 10 1999 A. D. Alexandrov’s length manifolds with one-sided bounded curvature. Zbl 0965.53026 Berestovskij, V. N. 1 1996 Homogeneous Riemannian manifolds of positive Ricci curvature. Zbl 0862.53040 Berestovskij, V. N. 8 1995 Compact homogeneous manifolds with integrable invariant distributions, and scalar curvature. Zbl 0872.53033 Berestovskij, V. N. 3 1995 Geodesics of a left-invariant nonholonomic Riemannian metric on the group of motions of the Euclidean plane. Zbl 0866.58022 Berestovskij, V. N. 7 1994 Geodesics of nonholonomic left-invariant intrinsic metrics on the Heisenberg group and isoperimetric curves on the Minkowski plane. Zbl 0834.53049 Berestovskij, V. N. 3 1994 Manifolds with intrinsic metric with one-side bounded curvature in the sense of A. D. Aleksandrov. Zbl 0838.53032 Berestovskij, V. N. 2 1994 A class of \(U(n)\)-invariant Riemannian metrics on manifolds diffeomorphic to odd-dimensional spheres. Zbl 0815.53057 Berestovskij, V. N.; Vol’per, D. E. 1 1993 Multidimensional generalized Riemannian spaces. Zbl 0781.53049 Berestovskij, V. N.; Nikolaev, I. G. 12 1992 Manifolds with intrinsic metric, and nonholonomic spaces. Zbl 0765.53033 Berestovskij, V. N.; Vershik, A. M. 5 1992 Homogeneous manifolds with intrinsic metric. II. Zbl 0681.53029 Berestovskij, V. N. 23 1989 Structure of homogeneous locally compact spaces with intrinsic metric. Zbl 0694.53046 Berestovskij, V. N. 10 1989 Many-dimensional generalized Riemannian spaces. Zbl 0737.53058 Berestovskiĭ, V. N.; Nikolaev, I. G. 1 1989 Homogeneous manifolds with an intrinsic metric. I. Zbl 0671.53036 Berestovskij, V. N. 28 1988 Homogeneous manifolds with intrinsic metric. I. Zbl 0686.53041 Berestovskij, V. N. 16 1988 Homogeneous spaces with an intrinsic metric. Zbl 0671.53037 Berestovskij, V. N. 2 1988 Submetries of space forms of nonnegative curvature. Zbl 0643.53053 Berestovskij, V. N. 8 1987 Generalized Riemannian spaces. Zbl 0625.53059 Aleksandrov, A. D.; Berestovskij, V. N.; Nikolaev, I. G. 24 1986 Spaces with bounded curvature and distance geometry. Zbl 0612.53047 Berestovskij, V. N. 7 1986 Spaces with bounded curvature and distance geometry. Zbl 0596.53059 Berestovskij, V. N. 3 1986 Generalized symmetric spaces. Zbl 0595.53065 Berestovskij, V. N. 3 1985 Borsuk’s problem on the metrization of a polyhedron. Zbl 0534.52005 Berestovskij, V. N. 4 1983 Homogeneous Buseman G-spaces. Zbl 0516.53059 Berestovskij, V. N. 4 1982 The finite-dimensionality problem for Busemann G-spaces. Zbl 0409.53049 Berestovskij, V. N. 2 1977 Introduction of a Riemann structure into certain metric spaces. Zbl 0325.53059 Berestovskij, V. N. 2 1976 all cited Publications top 5 cited Publications all top 5 Cited by 282 Authors 42 Berestovskiĭ, Valeriĭ Nikolaevich 24 Nikonorov, Yurii Gennadyevich 18 Sachkov, Yuriĭ Leonidovich 14 Zubareva, Irina Aleksandrovna 12 Xu, Ming 8 Podobryaev, Alekseĭ V. 8 Souris, Nikolaos Panagiotis 7 Deng, Shaoqiang 7 Plaut, Conrad P. 6 Le Donne, Enrico 5 Andreev, Pavel Dmitrievich 5 Guijarro, Luis 5 Lytchak, Alexander 5 Wolf, Joseph Albert 5 Yan, Zaili 4 Arvanitoyeorgos, Andreas 4 Chen, Zhiqi 4 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 4 Dobrovol’skiĭ, Nikolai Nikolaevich 4 Mashtakov, Alexey P. 4 Rodionov, Evgeniĭ Dmitrievich 3 Bechtluft-Sachs, Stefan 3 Bulygin, Alekseĭ Ivanovich 3 Grove, Karsten 3 Jost, Jürgen 3 Kell, Martin 3 Nagano, Koichi 3 Nikolaev, Igor Georgievich 3 Shenawy, Sameh 3 Statha, Marina 3 Walschap, Gerard 3 Wraith, David J. 3 Xu, Shicheng 2 Aazami, Amir Babak 2 Antonyan, Sergey A. 2 Bauer, Frank 2 Bekkers, Erik J. 2 Berestovskii, Valera 2 Berg, I. David 2 Beschastnyi, Ivan Yu. 2 Chen, Xiaoyang 2 Dovgoshey, Oleksiy Alfredovich 2 Duits, Remco 2 El-Sayied, Hoda Kamal Mohamed 2 Fukuoka, Ryuichi 2 Gefter, Sergey L. 2 Gorbatsevich, Vladimir Vital’evich 2 Greshnov, Aleksandr Valer’evich 2 Gundyrev, I. A. 2 Hua, Bobo 2 Jeon, Jeong Min 2 Kapovitch, Vitali 2 Karmanova, Maria B. 2 Lewis, Adrian S. 2 Liu, Shiping 2 Lokutsievskiy, Lev Viacheslavovich 2 López Acedo, Genaro 2 Nicolae, Adriana 2 Nikolayevsky, Yuri 2 Petersen, Peter V 2 Piven’, A. L. 2 Sabau, Sorin Vasile 2 Sachkova, Elena F. 2 Saucan, Emil 2 Slavskiĭ, Viktor Vladimirovich 2 Sobolev, Dmitrii K. 2 Soboleva, Valentina N. 2 Syied, Noha 2 Thurston, Paul 2 Tryamkin, Maksim Vladimirovich 2 Van Keilegom, Ingrid 2 Yoshikawa, Ryozo 2 Zhang, Huaiyu 2 Zhang, Shaoxiang 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 An, Huihui 1 Andreeva, Tat’yana Andreevna 1 Angulo Ardoy, Pablo 1 Aradi, Bernadett 1 Ardentov, Andrei A. 1 Balaba, Irina Nikolaevna 1 Bamler, Richard H. 1 Bao, Jinrong 1 Barbaro, Giuseppe 1 Barrera, Waldemar 1 Barrett, Dennis I. 1 Benetti, Djeison 1 Besson, Gérard 1 Blokhin, Aleksandr Mikhaĭlovich 1 Bochi, Jairo 1 Bolsinov, Alexey V. 1 Bonahon, Francis 1 Bowers, Philip L. 1 Bramson, Maury D. 1 Breuillard, Emmanuel 1 Burdzy, Krzysztof 1 Burenkov, Viktor Ivanovich 1 Burkin, Igor’ Mikhaĭlovich 1 Cariñena, José F. 1 Chen, Huibin ...and 182 more Authors all top 5 Cited in 106 Serials 48 Siberian Mathematical Journal 14 The Journal of Geometric Analysis 11 Geometriae Dedicata 11 Differential Geometry and its Applications 11 Journal of Mathematical Sciences (New York) 10 Doklady Mathematics 9 Journal of Geometry and Physics 8 Annals of Global Analysis and Geometry 8 Matematicheskie Trudy 7 Advances in Mathematics 6 Russian Mathematics 6 St. Petersburg Mathematical Journal 6 Transformation Groups 5 Topology and its Applications 5 Journal of Dynamical and Control Systems 4 Manuscripta Mathematica 4 Mathematische Zeitschrift 4 Transactions of the American Mathematical Society 4 Sbornik: Mathematics 4 Geometry & Topology 4 Proceedings of the Steklov Institute of Mathematics 4 European Journal of Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Regular and Chaotic Dynamics 3 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 3 Chebyshevskiĭ Sbornik 2 Houston Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Archiv der Mathematik 2 Inventiones Mathematicae 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Bulletin of the Korean Mathematical Society 2 SIAM Journal on Optimization 2 Balkan Journal of Geometry and its Applications (BJGA) 2 Differential Equations 2 Frontiers of Mathematics in China 2 Groups, Geometry, and Dynamics 2 Science China. Mathematics 2 Actes des Rencontres du C.I.R.M. 2 Russian Journal of Nonlinear Dynamics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 The Annals of Statistics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Commentationes Mathematicae Universitatis Carolinae 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Hiroshima Mathematical Journal 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Acta Mathematica Hungarica 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journal of Mathematical Imaging and Vision 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Turkish Journal of Mathematics 1 Filomat 1 Journal of Lie Theory 1 Electronic Research Announcements of the American Mathematical Society 1 Izvestiya: Mathematics 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Advances in Geometry 1 Journal of Dynamical Systems and Geometric Theories 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Hacettepe Journal of Mathematics and Statistics 1 Analysis and Applications (Singapore) 1 Oberwolfach Reports 1 Journal of Mathematical Physics, Analysis, Geometry 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications ...and 6 more Serials all top 5 Cited in 48 Fields 245 Differential geometry (53-XX) 42 Topological groups, Lie groups (22-XX) 29 Manifolds and cell complexes (57-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 23 Geometry (51-XX) 22 General topology (54-XX) 19 Global analysis, analysis on manifolds (58-XX) 13 Partial differential equations (35-XX) 12 Nonassociative rings and algebras (17-XX) 11 Group theory and generalizations (20-XX) 10 Convex and discrete geometry (52-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Functions of a complex variable (30-XX) 6 Combinatorics (05-XX) 6 Measure and integration (28-XX) 6 Functional analysis (46-XX) 5 Algebraic topology (55-XX) 5 Relativity and gravitational theory (83-XX) 4 Number theory (11-XX) 4 Operator theory (47-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year