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: 107 Publications since 1976, including 2 Books Co-Authors: 17 Co-Authors with 53 Joint Publications 567 Co-Co-Authors all top 5 Co-Authors 54 single-authored 19 Nikonorov, Yurii Gennadyevich 16 Zubareva, Irina Aleksandrovna 3 Gorbatsevich, Vladimir Vital’evich 3 Nikolaev, Igor Georgievich 3 Svirkin, V. M. 2 Gichev, Victor M. 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 Plaut, Conrad P. 1 Repovš, Dušan D. 1 Vershik, Anatoliĭ Moiseevich 1 Vol’per, D. E. all top 5 Serials 29 Siberian Mathematical Journal 11 Matematicheskie Trudy 8 Sibirskiĭ Matematicheskiĭ Zhurnal 4 Soviet Mathematics. Doklady 4 Russian Mathematics 4 Journal of Mathematical Sciences (New York) 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 94 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) 5 General topology (54-XX) 4 Convex and discrete geometry (52-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 3 Partial differential equations (35-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Calculus of variations and optimal control; optimization (49-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 Measure and integration (28-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 76 Publications have been cited 528 times in 281 Documents Cited by ▼ Year ▼ A metric characterization of Riemannian submersions. Zbl 0992.53025Berestovskij, V. N.; Guijarro, Luis 38 2000 Clifford-Wolf homogeneous Riemannian manifolds. Zbl 1179.53043Berestovskii, Valerii N.; Nikonorov, Yurii G. 37 2009 Killing vector fields of constant length on locally symmetric Riemannian manifolds. Zbl 1151.53046Berestovskiĭ, V. N.; Nikonorov, Yu. G. 32 2008 Homogeneous manifolds with an intrinsic metric. I. Zbl 0671.53036Berestovskij, V. N. 28 1988 On \(\delta \)-homogeneous Riemannian manifolds. Zbl 1155.53022Berestovskiĭ, V. N.; Nikonorov, Yu. G. 25 2008 Generalized Riemannian spaces. Zbl 0625.53059Aleksandrov, A. D.; Berestovskij, V. N.; Nikolaev, I. G. 22 1986 Homogeneous manifolds with intrinsic metric. II. Zbl 0681.53029Berestovskij, V. N. 20 1989 Homogeneous manifolds with intrinsic metric. I. Zbl 0686.53041Berestovskij, V. N. 15 1988 Shapes of spheres of special nonholonomic left-invariant intrinsic metrics on some Lie groups. Zbl 0996.53036Berestovskij, V. N.; Zubareva, I. A. 14 2001 Generalized normal homogeneous Riemannian metrics on spheres and projective spaces. Zbl 1410.53054Berestovskiĭ, Valeriĭ Nikolaevich; Nikonorov, Yuriĭ Gennadievich 14 2014 Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group \(\mathrm{SO}(3)\). Zbl 1327.53033Berestovskiĭ, V. N.; Zubareva, I. A. 14 2015 Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group \(\mathrm{SL}(2)\). Zbl 1347.53028Berestovskiĭ, V. N.; Zubareva, I. A. 13 2016 Riemannian manifolds and homogeneous geodesics. Zbl 1460.53001Berestovskii, Valerii; Nikonorov, Yurii 12 2020 Universal methods of the search of normal geodesics on Lie groups with left-invariant sub-Riemannian metric. Zbl 1311.53033Berestovskĭ, V. N. 12 2014 Metrized left invariant orders on topological groups. Zbl 0948.22004Berestovskii, V. N.; Gichev, V. M. 10 1999 Structure of homogeneous locally compact spaces with intrinsic metric. Zbl 0694.53046Berestovskij, V. N. 10 1989 Homogeneous Riemannian manifolds of positive Ricci curvature. Zbl 0862.53040Berestovskij, V. N. 8 1995 Multidimensional generalized Riemannian spaces. Zbl 0781.53049Berestovskij, V. N.; Nikolaev, I. G. 8 1992 Killing vector fields of constant length on Riemannian manifolds. Zbl 1164.53346Berestovskij, V. N.; Nikonorov, Yu. G. 8 2008 Geodesics of a left-invariant nonholonomic Riemannian metric on the group of motions of the Euclidean plane. Zbl 0866.58022Berestovskij, V. N. 7 1994 Curvatures of homogeneous sub-Riemannian manifolds. Zbl 1383.53025Berestovskii, Valerii N. 7 2017 (Locally) shortest arcs of a special sub-Riemannian metric on the Lie group \(\mathrm{SO}_0(2,1)\). Zbl 1335.53038Berestovskiĭ, V. N. 7 2016 Covering \(\mathbb R\)-trees, \(\mathbb R\)-free groups, and dendrites. Zbl 1207.57004Berestovskiĭ, V. N.; Plaut, C. P. 7 2010 Pathologies in Alexandrov spaces with curvature bounded above. Zbl 1051.57029Berestovskii, V. N. 7 2002 Sub-Riemannian distance in the Lie groups SU(2) and SO(3). Zbl 1374.53058Berestovskiĭ, V. N.; Zubareva, I. A. 7 2015 Spaces with bounded curvature and distance geometry. Zbl 0612.53047Berestovskij, V. N. 7 1986 Submetries of space forms of nonnegative curvature. Zbl 0643.53053Berestovskij, V. N. 6 1987 Locally isometric coverings of the Lie group \(\mathrm{SO}_0(2,1)\) with special sub-Riemannian metric. Zbl 1365.53037Berestovskii, Valerii N.; Zubareva, Irina A. 6 2016 On homogeneous geodesics and weakly symmetric spaces. Zbl 1414.53025Berestovskiĭ, Valeriĭ Nikolaevich; Nikonorov, Yuriĭ Gennadievich 5 2019 Manifolds with intrinsic metric, and nonholonomic spaces. Zbl 0765.53033Berestovskij, V. N.; Vershik, A. M. 5 1992 Continued fractions, the group \(GL(2, \mathbb Z)\), and Pisot numbers. Zbl 1249.11011Berestovskij, V. N.; Nikonorov, Yu. G. 5 2007 On \(\delta \)-homogeneous Riemannian manifolds. Zbl 1187.53054Berestovskii, V. N.; Nikonorov, Yu. G. 5 2007 The Chebyshev norm on the Lie algebra of the motion group of a compact homogeneous Finsler manifold. Zbl 1182.53045Berestovskii, V. N.; Nikonorov, Yu. G. 5 2009 The Laplace operator on normal homogeneous Riemannian manifolds. Zbl 1249.53049Berestovskiĭ, V. N.; Svirkin, V. M. 5 2009 Similarly homogeneous locally complete spaces with an intrinsic metric. Zbl 1497.53086Berestovskii, V. N. 5 2004 Busemann spaces with upper-bounded Aleksandrov curvature. Zbl 1047.53048Berestovskiĭ, V. N. 4 2003 Sub-Riemannian distance on the Lie group \(\mathrm{SL}(2)\). Zbl 1369.53022Berestovskiĭ, V. N.; Zubareva, I. A. 4 2017 Riemannian manifolds and homogeneous geodesics. (Римановы многообразия и однородные геодезические.) Zbl 1269.53001Berestovskij, V. N.; Nikonorov, Yu. G. 4 2012 Classification of generalized normal homogeneous Riemannian manifolds of positive Euler characteristic. Zbl 1219.53035Berestovski, V. N.; Nikitenko, E. V.; Nikonorov, Yu. G. 4 2011 The spectrum of the Laplace operator on compact simply connected Lie groups of rank two. Zbl 1216.53041Berestovskii, V. N.; Svirkin, V. M. 4 2009 Finite homogeneous metric spaces. Zbl 1431.51008Berestovskii, V. N.; Nikonorov, Yu. G. 3 2019 Homogeneous Buseman G-spaces. Zbl 0516.53059Berestovskij, V. N. 3 1982 Geodesics of nonholonomic left-invariant intrinsic metrics on the Heisenberg group and isoperimetric curves on the Minkowski plane. Zbl 0834.53049Berestovskij, V. N. 3 1994 Isometries in Aleksandrov spaces of curvature bounded above. Zbl 1027.53040Berestovskiĭ, V. N. 3 2002 Borsuk’s problem on the metrization of a polyhedron. Zbl 0534.52005Berestovskij, V. N. 3 1983 Generalized symmetric spaces. Zbl 0595.53065Berestovskij, V. N. 3 1985 Spaces with bounded curvature and distance geometry. Zbl 0596.53059Berestovskij, V. N. 3 1986 Generalized normal homogeneous spheres. Zbl 1285.53039Berestovskiĭ, V. N. 3 2013 Sub-Riemannian distance on the Lie group \(\operatorname {SO}_0(2,1)\). Zbl 1375.53043Berestovskiĭ, V. N.; Zubareva, I. A. 3 2017 On Clifford-Wolf homogeneous Riemannian manifolds. Zbl 1230.53047Berestovskii, V. N.; Nikonorov, Yu. G. 3 2008 Extremals of a left-invariant sub-Finsler metric on the Engel group. Zbl 1455.53087Berestovskii, V. N.; Zubareva, I. A. 2 2020 PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups. Zbl 1481.53042Berestovskiĭ, Valeriĭ Nikolaevich; Zubareva, Irina Aleksandrovna 2 2020 Manifolds with intrinsic metric with one-side bounded curvature in the sense of A. D. Aleksandrov. Zbl 0838.53032Berestovskij, V. N. 2 1994 Ultrametric spaces. Zbl 0984.54040Berestovskii, V. N. 2 2000 Introduction of a Riemann structure into certain metric spaces. Zbl 0325.53059Berestovskij, V. N. 2 1976 The finite-dimensionality problem for Busemann G-spaces. Zbl 0409.53049Berestovskij, V. N. 2 1977 Compact homogeneous manifolds with integrable invariant distributions, and scalar curvature. Zbl 0872.53033Berestovskij, V. N. 2 1995 Dimensions of \(\mathbb R\)-trees and self-similar fractal spaces of nonpositive curvature. Zbl 1249.53060Andreev, P. D.; Berestovskij, V. N. 2 2006 Regular and quasiregular isometric flows on Riemannian manifolds. Zbl 1249.53048Berestovskij, V. N.; Nikonorov, Yu. G. 2 2007 Homogeneous spaces with inner metric and with integrable invariant distributions. Zbl 1316.53035Berestovskii, V. N.; Gorbatsevich, V. V. 2 2014 Homogeneous spaces with an intrinsic metric. Zbl 0671.53037Berestovskij, V. N. 2 1988 Poincaré conjecture and related statements. Zbl 1149.57311Berestovskii, V. N. 2 2007 A metric characterization of Riemannian submersions for A. D. Alexandrov manifolds of bounded curvature. Zbl 1113.53306Berestovskii, V. N. 2 2003 On Urysohn’s \(\mathbb{R}\)-tree. Zbl 1422.54035Berestovskii, V. N. 2 2019 The spectra of the Laplace operators on connected compact simple Lie groups of rank 3. Zbl 1374.53059Berestovskiĭ, V. N.; Zubareva, I. A.; Svirkin, V. M. 2 2016 Locally \(G\)-homogeneous Busemann \(G\)-spaces. Zbl 1238.53059Berestovskiĭ, V. N.; Halverson, Denise M.; Repovš, Dušan 2 2011 A class of \(U(n)\)-invariant Riemannian metrics on manifolds diffeomorphic to odd-dimensional spheres. Zbl 0815.53057Berestovskij, V. N.; Vol’per, D. E. 1 1993 Metrized semigroups. Zbl 1063.22007Berestovskii, V. N.; Gichev, V. M. 1 2001 Generalized normal homogeneous spheres \(S^{4n+3}\) with greatest connected motion group \(\mathrm{Sp}{(n+1)\cdot \mathrm{U}(1)}\). Zbl 1285.53040Berestovskiĭ, V. N. 1 2013 Correct observer’s event horizon in de Sitter space-time. Zbl 1345.51006Berestovskii, Valerii Nikolaevich; Zubareva, Irina Aleksandrovna 1 2015 Many-dimensional generalized Riemannian spaces. Zbl 0737.53058Berestovskiĭ, V. N.; Nikolaev, I. G. 1 1989 On a problem by V. A. Toponogov. Zbl 1249.26027Berestovskij, V. N. 1 2010 Zonal spherical functions on CROSS’s and special functions. Zbl 1253.53055Berestovskiĭ, V. N. 1 2012 On \(\delta\)-homogeneous Riemannian manifolds. II. Zbl 1224.53085Berestovskij, V. N.; Nikonorov, Yu. G. 1 2009 Functions with (non)time-like gradient on a spacetime. Zbl 1374.53099Berestovskiĭ, V. N.; Zubareva, I. A. 1 2014 Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups. Zbl 1472.53085Berestovskii, V. N.; Zubareva, I. A. 1 2021 Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups. Zbl 1472.53085Berestovskii, V. N.; Zubareva, I. A. 1 2021 Riemannian manifolds and homogeneous geodesics. Zbl 1460.53001Berestovskii, Valerii; Nikonorov, Yurii 12 2020 Extremals of a left-invariant sub-Finsler metric on the Engel group. Zbl 1455.53087Berestovskii, V. N.; Zubareva, I. A. 2 2020 PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups. Zbl 1481.53042Berestovskiĭ, Valeriĭ Nikolaevich; Zubareva, Irina Aleksandrovna 2 2020 On homogeneous geodesics and weakly symmetric spaces. Zbl 1414.53025Berestovskiĭ, Valeriĭ Nikolaevich; Nikonorov, Yuriĭ Gennadievich 5 2019 Finite homogeneous metric spaces. Zbl 1431.51008Berestovskii, V. N.; Nikonorov, Yu. G. 3 2019 On Urysohn’s \(\mathbb{R}\)-tree. Zbl 1422.54035Berestovskii, V. N. 2 2019 Curvatures of homogeneous sub-Riemannian manifolds. Zbl 1383.53025Berestovskii, Valerii N. 7 2017 Sub-Riemannian distance on the Lie group \(\mathrm{SL}(2)\). Zbl 1369.53022Berestovskiĭ, V. N.; Zubareva, I. A. 4 2017 Sub-Riemannian distance on the Lie group \(\operatorname {SO}_0(2,1)\). Zbl 1375.53043Berestovskiĭ, V. N.; Zubareva, I. A. 3 2017 Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group \(\mathrm{SL}(2)\). Zbl 1347.53028Berestovskiĭ, V. N.; Zubareva, I. A. 13 2016 (Locally) shortest arcs of a special sub-Riemannian metric on the Lie group \(\mathrm{SO}_0(2,1)\). Zbl 1335.53038Berestovskiĭ, V. N. 7 2016 Locally isometric coverings of the Lie group \(\mathrm{SO}_0(2,1)\) with special sub-Riemannian metric. Zbl 1365.53037Berestovskii, Valerii N.; Zubareva, Irina A. 6 2016 The spectra of the Laplace operators on connected compact simple Lie groups of rank 3. Zbl 1374.53059Berestovskiĭ, 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 1327.53033Berestovskiĭ, V. N.; Zubareva, I. A. 14 2015 Sub-Riemannian distance in the Lie groups SU(2) and SO(3). Zbl 1374.53058Berestovskiĭ, V. N.; Zubareva, I. A. 7 2015 Correct observer’s event horizon in de Sitter space-time. Zbl 1345.51006Berestovskii, Valerii Nikolaevich; Zubareva, Irina Aleksandrovna 1 2015 Generalized normal homogeneous Riemannian metrics on spheres and projective spaces. Zbl 1410.53054Berestovskiĭ, Valeriĭ Nikolaevich; Nikonorov, Yuriĭ Gennadievich 14 2014 Universal methods of the search of normal geodesics on Lie groups with left-invariant sub-Riemannian metric. Zbl 1311.53033Berestovskĭ, V. N. 12 2014 Homogeneous spaces with inner metric and with integrable invariant distributions. Zbl 1316.53035Berestovskii, V. N.; Gorbatsevich, V. V. 2 2014 Functions with (non)time-like gradient on a spacetime. Zbl 1374.53099Berestovskiĭ, V. N.; Zubareva, I. A. 1 2014 Generalized normal homogeneous spheres. Zbl 1285.53039Berestovskiĭ, 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 1285.53040Berestovskiĭ, V. N. 1 2013 Riemannian manifolds and homogeneous geodesics. (Римановы многообразия и однородные геодезические.) Zbl 1269.53001Berestovskij, V. N.; Nikonorov, Yu. G. 4 2012 Zonal spherical functions on CROSS’s and special functions. Zbl 1253.53055Berestovskiĭ, V. N. 1 2012 Classification of generalized normal homogeneous Riemannian manifolds of positive Euler characteristic. Zbl 1219.53035Berestovski, V. N.; Nikitenko, E. V.; Nikonorov, Yu. G. 4 2011 Locally \(G\)-homogeneous Busemann \(G\)-spaces. Zbl 1238.53059Berestovskiĭ, V. N.; Halverson, Denise M.; Repovš, Dušan 2 2011 Covering \(\mathbb R\)-trees, \(\mathbb R\)-free groups, and dendrites. Zbl 1207.57004Berestovskiĭ, V. N.; Plaut, C. P. 7 2010 On a problem by V. A. Toponogov. Zbl 1249.26027Berestovskij, V. N. 1 2010 Clifford-Wolf homogeneous Riemannian manifolds. Zbl 1179.53043Berestovskii, Valerii N.; Nikonorov, Yurii G. 37 2009 The Chebyshev norm on the Lie algebra of the motion group of a compact homogeneous Finsler manifold. Zbl 1182.53045Berestovskii, V. N.; Nikonorov, Yu. G. 5 2009 The Laplace operator on normal homogeneous Riemannian manifolds. Zbl 1249.53049Berestovskiĭ, V. N.; Svirkin, V. M. 5 2009 The spectrum of the Laplace operator on compact simply connected Lie groups of rank two. Zbl 1216.53041Berestovskii, V. N.; Svirkin, V. M. 4 2009 On \(\delta\)-homogeneous Riemannian manifolds. II. Zbl 1224.53085Berestovskij, V. N.; Nikonorov, Yu. G. 1 2009 Killing vector fields of constant length on locally symmetric Riemannian manifolds. Zbl 1151.53046Berestovskiĭ, V. N.; Nikonorov, Yu. G. 32 2008 On \(\delta \)-homogeneous Riemannian manifolds. Zbl 1155.53022Berestovskiĭ, V. N.; Nikonorov, Yu. G. 25 2008 Killing vector fields of constant length on Riemannian manifolds. Zbl 1164.53346Berestovskij, V. N.; Nikonorov, Yu. G. 8 2008 On Clifford-Wolf homogeneous Riemannian manifolds. Zbl 1230.53047Berestovskii, V. N.; Nikonorov, Yu. G. 3 2008 Continued fractions, the group \(GL(2, \mathbb Z)\), and Pisot numbers. Zbl 1249.11011Berestovskij, V. N.; Nikonorov, Yu. G. 5 2007 On \(\delta \)-homogeneous Riemannian manifolds. Zbl 1187.53054Berestovskii, V. N.; Nikonorov, Yu. G. 5 2007 Regular and quasiregular isometric flows on Riemannian manifolds. Zbl 1249.53048Berestovskij, V. N.; Nikonorov, Yu. G. 2 2007 Poincaré conjecture and related statements. Zbl 1149.57311Berestovskii, V. N. 2 2007 Dimensions of \(\mathbb R\)-trees and self-similar fractal spaces of nonpositive curvature. Zbl 1249.53060Andreev, P. D.; Berestovskij, V. N. 2 2006 Similarly homogeneous locally complete spaces with an intrinsic metric. Zbl 1497.53086Berestovskii, V. N. 5 2004 Busemann spaces with upper-bounded Aleksandrov curvature. Zbl 1047.53048Berestovskiĭ, V. N. 4 2003 A metric characterization of Riemannian submersions for A. D. Alexandrov manifolds of bounded curvature. Zbl 1113.53306Berestovskii, V. N. 2 2003 Pathologies in Alexandrov spaces with curvature bounded above. Zbl 1051.57029Berestovskii, V. N. 7 2002 Isometries in Aleksandrov spaces of curvature bounded above. Zbl 1027.53040Berestovskiĭ, V. N. 3 2002 Shapes of spheres of special nonholonomic left-invariant intrinsic metrics on some Lie groups. Zbl 0996.53036Berestovskij, V. N.; Zubareva, I. A. 14 2001 Metrized semigroups. Zbl 1063.22007Berestovskii, V. N.; Gichev, V. M. 1 2001 A metric characterization of Riemannian submersions. Zbl 0992.53025Berestovskij, V. N.; Guijarro, Luis 38 2000 Ultrametric spaces. Zbl 0984.54040Berestovskii, V. N. 2 2000 Metrized left invariant orders on topological groups. Zbl 0948.22004Berestovskii, V. N.; Gichev, V. M. 10 1999 Homogeneous Riemannian manifolds of positive Ricci curvature. Zbl 0862.53040Berestovskij, V. N. 8 1995 Compact homogeneous manifolds with integrable invariant distributions, and scalar curvature. Zbl 0872.53033Berestovskij, V. N. 2 1995 Geodesics of a left-invariant nonholonomic Riemannian metric on the group of motions of the Euclidean plane. Zbl 0866.58022Berestovskij, V. N. 7 1994 Geodesics of nonholonomic left-invariant intrinsic metrics on the Heisenberg group and isoperimetric curves on the Minkowski plane. Zbl 0834.53049Berestovskij, V. N. 3 1994 Manifolds with intrinsic metric with one-side bounded curvature in the sense of A. D. Aleksandrov. Zbl 0838.53032Berestovskij, V. N. 2 1994 A class of \(U(n)\)-invariant Riemannian metrics on manifolds diffeomorphic to odd-dimensional spheres. Zbl 0815.53057Berestovskij, V. N.; Vol’per, D. E. 1 1993 Multidimensional generalized Riemannian spaces. Zbl 0781.53049Berestovskij, V. N.; Nikolaev, I. G. 8 1992 Manifolds with intrinsic metric, and nonholonomic spaces. Zbl 0765.53033Berestovskij, V. N.; Vershik, A. M. 5 1992 Homogeneous manifolds with intrinsic metric. II. Zbl 0681.53029Berestovskij, V. N. 20 1989 Structure of homogeneous locally compact spaces with intrinsic metric. Zbl 0694.53046Berestovskij, V. N. 10 1989 Many-dimensional generalized Riemannian spaces. Zbl 0737.53058Berestovskiĭ, V. N.; Nikolaev, I. G. 1 1989 Homogeneous manifolds with an intrinsic metric. I. Zbl 0671.53036Berestovskij, V. N. 28 1988 Homogeneous manifolds with intrinsic metric. I. Zbl 0686.53041Berestovskij, V. N. 15 1988 Homogeneous spaces with an intrinsic metric. Zbl 0671.53037Berestovskij, V. N. 2 1988 Submetries of space forms of nonnegative curvature. Zbl 0643.53053Berestovskij, V. N. 6 1987 Generalized Riemannian spaces. Zbl 0625.53059Aleksandrov, A. D.; Berestovskij, V. N.; Nikolaev, I. G. 22 1986 Spaces with bounded curvature and distance geometry. Zbl 0612.53047Berestovskij, V. N. 7 1986 Spaces with bounded curvature and distance geometry. Zbl 0596.53059Berestovskij, V. N. 3 1986 Generalized symmetric spaces. Zbl 0595.53065Berestovskij, V. N. 3 1985 Borsuk’s problem on the metrization of a polyhedron. Zbl 0534.52005Berestovskij, V. N. 3 1983 Homogeneous Buseman G-spaces. Zbl 0516.53059Berestovskij, V. N. 3 1982 The finite-dimensionality problem for Busemann G-spaces. Zbl 0409.53049Berestovskij, V. N. 2 1977 Introduction of a Riemann structure into certain metric spaces. Zbl 0325.53059Berestovskij, V. N. 2 1976 all cited Publications top 5 cited Publications all top 5 Cited by 252 Authors 40 Berestovskiĭ, Valeriĭ Nikolaevich 23 Nikonorov, Yurii Gennadyevich 18 Sachkov, Yuriĭ Leonidovich 14 Zubareva, Irina Aleksandrovna 11 Xu, Ming 8 Souris, Nikolaos Panagiotis 7 Plaut, Conrad P. 7 Podobryaev, Alekseĭ V. 6 Deng, Shaoqiang 6 Le Donne, Enrico 5 Andreev, Pavel Dmitrievich 5 Guijarro, Luis 4 Arvanitoyeorgos, Andreas 4 Mashtakov, Alexey P. 4 Wolf, Joseph Albert 3 Bechtluft-Sachs, Stefan 3 Bulygin, Alekseĭ Ivanovich 3 Chen, Zhiqi 3 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 3 Dobrovol’skiĭ, Nikolai Nikolaevich 3 Grove, Karsten 3 Jost, Jürgen 3 Kell, Martin 3 Lytchak, Alexander 3 Nagano, Koichi 3 Nikolaev, Igor Georgievich 3 Rodionov, Evgeniĭ Dmitrievich 3 Shenawy, Sameh 3 Statha, Marina 3 Walschap, Gerard 3 Wraith, David J. 3 Xu, Shicheng 2 Antonyan, Sergey A. 2 Ardentov, Andrei 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 Kapovitch, Vitali 2 Karmanova, Maria B. 2 Liu, Shiping 2 Lokutsievskiy, Lev Viacheslavovich 2 Nikolaevskiĭ, Yuriĭ A. 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 Yoshikawa, Ryozo 1 Aazami, Amir Babak 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Angulo Ardoy, Pablo 1 Aradi, Bernadett 1 Balaba, Irina Nikolaevna 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 Chepoi, Victor D. 1 Cohen, David Bruce 1 Courtois, Gilles 1 De, Uday Chand 1 Dekster, Boris V. 1 Dekster, M. 1 Demidenko, Gennadiĭ Vladimirovich 1 Deshmukh, Sharief 1 Di Scala, Antonio Jose 1 Dirmeier, Alexander 1 Dobritsa, Vyacheslav P. 1 Domínguez-Vázquez, Miguel ...and 152 more Authors all top 5 Cited in 95 Serials 47 Siberian Mathematical Journal 12 The Journal of Geometric Analysis 11 Differential Geometry and its Applications 10 Geometriae Dedicata 10 Journal of Mathematical Sciences (New York) 9 Doklady Mathematics 8 Journal of Geometry and Physics 8 Matematicheskie Trudy 7 Advances in Mathematics 7 Annals of Global Analysis and Geometry 6 Russian Mathematics 6 St. Petersburg Mathematical Journal 6 Transformation Groups 5 Topology and its Applications 5 Journal of Dynamical and Control Systems 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 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 Regular and Chaotic Dynamics 3 Chebyshevskiĭ Sbornik 2 Mathematical Notes 2 Archiv der Mathematik 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Balkan Journal of Geometry and its Applications (BJGA) 2 Differential Equations 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Frontiers of Mathematics in China 2 Groups, Geometry, and Dynamics 2 Actes des Rencontres du C.I.R.M. 2 Russian Journal of Nonlinear Dynamics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of 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 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Hiroshima Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Mathematische Nachrichten 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 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 Journal of Mathematical Physics, Analysis, Geometry 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 East Asian Mathematical Journal 1 Journal of Topology and Analysis 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Complex Manifolds all top 5 Cited in 47 Fields 217 Differential geometry (53-XX) 40 Topological groups, Lie groups (22-XX) 27 Manifolds and cell complexes (57-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 21 General topology (54-XX) 19 Geometry (51-XX) 17 Global analysis, analysis on manifolds (58-XX) 11 Group theory and generalizations (20-XX) 10 Nonassociative rings and algebras (17-XX) 9 Convex and discrete geometry (52-XX) 8 Partial differential equations (35-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Functional analysis (46-XX) 5 Combinatorics (05-XX) 5 Measure and integration (28-XX) 5 Algebraic topology (55-XX) 5 Relativity and gravitational theory (83-XX) 4 Functions of a complex variable (30-XX) 4 Systems theory; control (93-XX) 3 Number theory (11-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-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 Numerical analysis (65-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