## Apanasov, Boris Nikolaevich

Compute Distance To:
 Author ID: apanasov.boris-nikolaevich Published as: Apanasov, B. N.; Apanasov, Boris N.; Apanasov, Boris; Apanasov, Boris Nikolaevich; Apanasov, B. more...less
 Documents Indexed: 76 Publications since 1974, including 7 Books 2 Contributions as Editor Reviewing Activity: 182 Reviews Co-Authors: 14 Co-Authors with 17 Joint Publications 356 Co-Co-Authors
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### Co-Authors

 61 single-authored 5 Tetenov, Andrew V. 3 Xie, Xiangdong 2 Gusevskii, N. A. 2 Gutsul, Ivan S. 2 Krushkal, Samuel L. 1 Bradlow, Steven B. 1 Kim, Inkang 1 Maskit, Bernard 1 McFaden, Harold 1 Neumann, Walter David 1 Reid, Alan W. 1 Rodrigues, Waldyr Alves jun. 1 Savin, V. V. 1 Siebenmann, Laurence C. 1 Tjetjenov, A. V. 1 Uhlenbeck, Karen Keskulla
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### Serials

 10 Soviet Mathematics. Doklady 6 Siberian Mathematical Journal 6 Annals of Global Analysis and Geometry 5 Doklady Mathematics 3 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Journal of Differential Geometry 2 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 2 International Journal of Mathematics 2 Journal of Mathematical Sciences (New York) 1 Russian Mathematical Surveys 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Topology and its Applications 1 Zeitschrift für Analysis und ihre Anwendungen 1 Differential Geometry and its Applications 1 Russian Academy of Sciences. Doklady. Mathematics 1 Sbornik: Mathematics 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Lobachevskii Journal of Mathematics 1 Atti del Seminario Matematico e Fisico dell’ Università di Modena e Reggio Emilia 1 De Gruyter Expositions in Mathematics 1 Mathematics and Its Applications. Soviet Series 1 Ohio State University Mathematical Research Institute Publications 1 Proceedings of the Steklov Institute of Mathematics 1 Translations of Mathematical Monographs
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### Fields

 45 Manifolds and cell complexes (57-XX) 43 Functions of a complex variable (30-XX) 31 Differential geometry (53-XX) 24 Topological groups, Lie groups (22-XX) 22 Several complex variables and analytic spaces (32-XX) 16 Group theory and generalizations (20-XX) 12 Geometry (51-XX) 7 Convex and discrete geometry (52-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Combinatorics (05-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

48 Publications have been cited 208 times in 118 Documents Cited by Year
Conformal geometry of discrete groups and manifolds. Zbl 0965.57001
Apanasov, Boris N.
2000
Discrete groups in space and uniformization problems. Transl. from the Russian. Rev. and enlarged transl. Rev. and enlarged transl. Zbl 0732.57001
Apanasov, Boris N.
1991
Geometrically finite hyperbolic structures on manifolds. Zbl 0531.57012
Apanasov, B. N.
1983
Geometry of discrete groups and manifolds. (Geometriya diskretnykh grupp i mnogoobrazij.) Zbl 0732.57002
Apanasov, B. N.
1991
Cartan angular invariant and deformations of rank 1 symmetric spaces. Zbl 1146.22013
Apanasov, B. N.; Kim, I.
2007
Nontrivial cobordisms with geometrically finite hyperbolic structure. Zbl 0627.57015
Apanasov, B. N.; Tetenov, A. V.
1988
Bending and stamping deformations of hyperbolic manifolds. Zbl 0705.53013
Apanasov, B. N.
1990
Nonstandard uniformized conformal structures on hyperbolic manifolds. Zbl 0731.53010
Apanasov, Boris N.
1991
Kleinian groups and uniformization in examples and problems. Transl. from the Russian by H. H. McFaden, ed. by Bernard Maskit. Zbl 0579.30001
Krushkal’, S. L.; Apanasov, B. N.; Gusevskij, N. A.
1986
Kleinian groups and uniformization in examples and problems. (Klejnovy gruppy i uniformizatsiya v primerakh i zadachakh). Zbl 0485.30001
Krushkal’, S. L.; Apanasov, B. N.; Gusevskij, N. A.
1981
Cusp ends of hyperbolic manifolds. Zbl 0537.57007
Apanasov, Boris N.
1985
Nontriviality of Teichmüller space for Kleinian group in space. Zbl 0464.30037
Apanasov, B. N.
1981
Discrete actions on nilpotent Lie groups and negatively curved spaces. Zbl 1059.57014
Apanasov, Boris; Xie, Xiangdong
2004
The geometry of Nielsen’s hull for a Kleinian group in space and quasi- conformal mappings. Zbl 0662.53039
Apanasov, B. N.
1988
Quasisymmetric embeddings of a closed ball inextensible in neighbourhoods of any boundary points. Zbl 0747.30016
Apanasov, Boris N.
1989
Kobayashi conformal metric on manifolds, Chern-Simons and $$\eta$$- invariants. Zbl 0761.53010
Apanasov, Boris N.
1991
Deformations of conformal structures on hyperbolic manifolds. Zbl 0770.53025
Apanasov, Boris N.
1992
Geometrically finite groups of transformations of space. Zbl 0519.30038
Apanasov, B. N.
1982
A universal property of Kleinian groups in the hyperbolic metric. Zbl 0365.30011
Apanasov, B. N.
1975
Bending deformations of complex hyperbolic surfaces. Zbl 0891.53055
Apanasov, Boris
1997
The effect of dimension four in Aleksandrov’s problem of filling a space by polyhedra. Zbl 0573.52024
Apanasov, B. N.
1986
Hyperbolic 4-cobordisms and group homomorphisms with infinite kernel. Zbl 1232.57018
Apanasov, Boris N.
2010
Geometry and topology of complex hyperbolic and Cauchy-Riemannian manifolds. Zbl 0920.32024
Apanasov, B. N.
1997
Kleinian groups, the Teichmueller space and Mostow’s rigidity theorem. Zbl 0499.30032
Apanasov, B. N.
1980
Discrete transformation groups and manifold structures. Zbl 0571.57002
Apanasov, B. N.
1983
Quasi-symmetric knots and Teichmüller spaces. Zbl 0968.30024
Apanasov, B. N.
1997
Deformations of hyperbolic structures along surfaces with boundary and pleated surfaces. Zbl 0857.57007
Apanasov, Boris; Tetenov, Andrew
1994
Geometrically finite complex hyperbolic manifolds. Zbl 0912.53027
Apanasov, Boris; Xie, Xiangdong
1997
On a class of Kleinian groups in $$R^n$$. Zbl 0312.30024
Apanasov, B. N.
1974
The action of non-super-rigid lattices in symmetric spaces of rank 1. Zbl 1076.53063
Apanasov, B. N.
2000
Greatly symmetric totally geodesic surfaces and closed hyperbolic 3- manifolds which share a fundamental polyhedron. Zbl 0836.57007
Apanasov, Boris N.; Gutsul, Ivan S.
1992
Incomplete hyperbolic manifolds and local finiteness of a tesselation of space by polyhedra. Zbl 0555.51011
Apanasov, B. N.
1983
Group actions, Teichmüller spaces and cobordisms. Zbl 1373.57038
Apanasov, B. N.
2017
Discrete transformations groups and manifold structures. (Diskretnye gruppy preobrazovanij i struktury mnogoobrazij.) Zbl 0535.57002
Apanasov, B. N.
1983
Topological barriers for locally homeomorphic quasiregular mappings in 3-space. Zbl 1421.30032
Apanasov, Boris N.
2018
Hyperbolic topology and bounded locally homeomorphic quasiregular mappings in 3-space. Zbl 1482.30060
Apanasov, Boris N.
2019
Complex hyperbolic manifolds: Rigidity versus flexibility and instability of deformations. Zbl 0970.53040
Apanasov, Boris
1999
Deformations and rigidity of group representations in rank one symmetric spaces. Zbl 0954.22005
Apanasov, Boris
2000
Canonical homeomorphisms in Heisenberg groups induced by isomorphisms of discrete subgroups in $$PU(n,1)$$. Zbl 0976.53053
Apanasov, B. N.
1997
Varieties of discrete representations of hyperbolic $$3$$-lattices. Zbl 0857.20019
Apanasov, Boris
1996
On an analytic method in the theory of Kleinian groups in a multidimensional Euclidean space. Zbl 0362.30019
Apanasov, B. N.
1975
Manifolds of negative curvature and nilpotent groups. Zbl 0942.53024
Apanasov, B.; Xie, X.
1997
Geometry, topology and physics. Proceedings of the first Brazil-USA workshop, Campinas, Brazil, June 30–July 7, 1996. Zbl 0883.00022
1997
Topology ’90. Contributions from a research semester in low dimensional topology, held at Ohio State University, Columbus, OH (USA), from Feb. through June 1990. Zbl 0747.00024
1992
Almost nilpotent manifolds with pinched negative curvature. Zbl 1117.53032
Apanasov, Boris
2005
Deformations of hyperbolic structures and quasi-Fuchsian groups generated by reflections. Zbl 1137.53325
Apanasov, B. N.; Tetenov, A. V.
2006
Kleinian groups, Teichmüller space, and the rigidity theorem of Mostow. Zbl 0507.30039
Apanasov, B. N.
1981
A new form of the fundamental polyhedra for discrete groups. Zbl 0734.51017
Apanasov, B. N.
1990
Hyperbolic topology and bounded locally homeomorphic quasiregular mappings in 3-space. Zbl 1482.30060
Apanasov, Boris N.
2019
Topological barriers for locally homeomorphic quasiregular mappings in 3-space. Zbl 1421.30032
Apanasov, Boris N.
2018
Group actions, Teichmüller spaces and cobordisms. Zbl 1373.57038
Apanasov, B. N.
2017
Hyperbolic 4-cobordisms and group homomorphisms with infinite kernel. Zbl 1232.57018
Apanasov, Boris N.
2010
Cartan angular invariant and deformations of rank 1 symmetric spaces. Zbl 1146.22013
Apanasov, B. N.; Kim, I.
2007
Deformations of hyperbolic structures and quasi-Fuchsian groups generated by reflections. Zbl 1137.53325
Apanasov, B. N.; Tetenov, A. V.
2006
Almost nilpotent manifolds with pinched negative curvature. Zbl 1117.53032
Apanasov, Boris
2005
Discrete actions on nilpotent Lie groups and negatively curved spaces. Zbl 1059.57014
Apanasov, Boris; Xie, Xiangdong
2004
Conformal geometry of discrete groups and manifolds. Zbl 0965.57001
Apanasov, Boris N.
2000
The action of non-super-rigid lattices in symmetric spaces of rank 1. Zbl 1076.53063
Apanasov, B. N.
2000
Deformations and rigidity of group representations in rank one symmetric spaces. Zbl 0954.22005
Apanasov, Boris
2000
Complex hyperbolic manifolds: Rigidity versus flexibility and instability of deformations. Zbl 0970.53040
Apanasov, Boris
1999
Bending deformations of complex hyperbolic surfaces. Zbl 0891.53055
Apanasov, Boris
1997
Geometry and topology of complex hyperbolic and Cauchy-Riemannian manifolds. Zbl 0920.32024
Apanasov, B. N.
1997
Quasi-symmetric knots and Teichmüller spaces. Zbl 0968.30024
Apanasov, B. N.
1997
Geometrically finite complex hyperbolic manifolds. Zbl 0912.53027
Apanasov, Boris; Xie, Xiangdong
1997
Canonical homeomorphisms in Heisenberg groups induced by isomorphisms of discrete subgroups in $$PU(n,1)$$. Zbl 0976.53053
Apanasov, B. N.
1997
Manifolds of negative curvature and nilpotent groups. Zbl 0942.53024
Apanasov, B.; Xie, X.
1997
Geometry, topology and physics. Proceedings of the first Brazil-USA workshop, Campinas, Brazil, June 30–July 7, 1996. Zbl 0883.00022
1997
Varieties of discrete representations of hyperbolic $$3$$-lattices. Zbl 0857.20019
Apanasov, Boris
1996
Deformations of hyperbolic structures along surfaces with boundary and pleated surfaces. Zbl 0857.57007
Apanasov, Boris; Tetenov, Andrew
1994
Deformations of conformal structures on hyperbolic manifolds. Zbl 0770.53025
Apanasov, Boris N.
1992
Greatly symmetric totally geodesic surfaces and closed hyperbolic 3- manifolds which share a fundamental polyhedron. Zbl 0836.57007
Apanasov, Boris N.; Gutsul, Ivan S.
1992
Topology ’90. Contributions from a research semester in low dimensional topology, held at Ohio State University, Columbus, OH (USA), from Feb. through June 1990. Zbl 0747.00024
1992
Discrete groups in space and uniformization problems. Transl. from the Russian. Rev. and enlarged transl. Rev. and enlarged transl. Zbl 0732.57001
Apanasov, Boris N.
1991
Geometry of discrete groups and manifolds. (Geometriya diskretnykh grupp i mnogoobrazij.) Zbl 0732.57002
Apanasov, B. N.
1991
Nonstandard uniformized conformal structures on hyperbolic manifolds. Zbl 0731.53010
Apanasov, Boris N.
1991
Kobayashi conformal metric on manifolds, Chern-Simons and $$\eta$$- invariants. Zbl 0761.53010
Apanasov, Boris N.
1991
Bending and stamping deformations of hyperbolic manifolds. Zbl 0705.53013
Apanasov, B. N.
1990
A new form of the fundamental polyhedra for discrete groups. Zbl 0734.51017
Apanasov, B. N.
1990
Quasisymmetric embeddings of a closed ball inextensible in neighbourhoods of any boundary points. Zbl 0747.30016
Apanasov, Boris N.
1989
Nontrivial cobordisms with geometrically finite hyperbolic structure. Zbl 0627.57015
Apanasov, B. N.; Tetenov, A. V.
1988
The geometry of Nielsen’s hull for a Kleinian group in space and quasi- conformal mappings. Zbl 0662.53039
Apanasov, B. N.
1988
Kleinian groups and uniformization in examples and problems. Transl. from the Russian by H. H. McFaden, ed. by Bernard Maskit. Zbl 0579.30001
Krushkal&rsquo;, S. L.; Apanasov, B. N.; Gusevskij, N. A.
1986
The effect of dimension four in Aleksandrov’s problem of filling a space by polyhedra. Zbl 0573.52024
Apanasov, B. N.
1986
Cusp ends of hyperbolic manifolds. Zbl 0537.57007
Apanasov, Boris N.
1985
Geometrically finite hyperbolic structures on manifolds. Zbl 0531.57012
Apanasov, B. N.
1983
Discrete transformation groups and manifold structures. Zbl 0571.57002
Apanasov, B. N.
1983
Incomplete hyperbolic manifolds and local finiteness of a tesselation of space by polyhedra. Zbl 0555.51011
Apanasov, B. N.
1983
Discrete transformations groups and manifold structures. (Diskretnye gruppy preobrazovanij i struktury mnogoobrazij.) Zbl 0535.57002
Apanasov, B. N.
1983
Geometrically finite groups of transformations of space. Zbl 0519.30038
Apanasov, B. N.
1982
Kleinian groups and uniformization in examples and problems. (Klejnovy gruppy i uniformizatsiya v primerakh i zadachakh). Zbl 0485.30001
Krushkal&rsquo;, S. L.; Apanasov, B. N.; Gusevskij, N. A.
1981
Nontriviality of Teichmüller space for Kleinian group in space. Zbl 0464.30037
Apanasov, B. N.
1981
Kleinian groups, Teichmüller space, and the rigidity theorem of Mostow. Zbl 0507.30039
Apanasov, B. N.
1981
Kleinian groups, the Teichmueller space and Mostow’s rigidity theorem. Zbl 0499.30032
Apanasov, B. N.
1980
A universal property of Kleinian groups in the hyperbolic metric. Zbl 0365.30011
Apanasov, B. N.
1975
On an analytic method in the theory of Kleinian groups in a multidimensional Euclidean space. Zbl 0362.30019
Apanasov, B. N.
1975
On a class of Kleinian groups in $$R^n$$. Zbl 0312.30024
Apanasov, B. N.
1974
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### Cited by 127 Authors

 16 Apanasov, Boris Nikolaevich 4 Scannell, Kevin P. 4 Vulakh, L. Ya. 3 Hidalgo, Rubén Antonio 3 Ivanšić, Dubravko 3 Izeki, Hiroyasu 3 Martin, Gaven J. 3 Tomaschitz, Roman 3 Tukia, Pekka 2 Barbot, Thierry 2 Basmajian, Ara S. 2 Bonsante, Francesco 2 Cao, Wensheng 2 El Aidi, Mohammed 2 Gongopadhyay, Krishnendu 2 Kalane, Sagar Balasheb 2 Kapovich, M. Eh. 2 Kapovich, Michael 2 Kim, Inkang 2 Kim, Joonhyung 2 Pansu, Pierre 2 Schlenker, Jean-Marc 2 Shurygin, Vadim V. jun. 2 Tan, Ser Peow 2 Wang, Xiantao 1 Anderson, James W. 1 Andersson, Lars Åke 1 Araki, Yoshiaki 1 Asuke, Taro 1 Baklouti, Ali 1 Bart, Anneke 1 Bejar, Souhail 1 Belegradek, Igor 1 Benedetti, Riccardo 1 Bieri, Robert 1 Biquard, Olivier 1 Boege, Margareta 1 Bogatyrev, Andrei Borisovich 1 Boileau, Michel Charles 1 Bonfert-Taylor, Petra 1 Boyer, Steven 1 Bryukhanov, Oleg V. 1 Canary, Richard D. 1 Cebanu, Radu 1 Chamorro, Jaime Leonardo Orjuela 1 Choi, Suhyoung 1 Christiansen, Jacob Stordal 1 Das, Tushar Kanti 1 de Carvalho, Carlos A. A. 1 Dhahri, Khaireddine 1 Erlandsson, Viveka 1 Farsi, Carla 1 Felikson, Anna Aleksandrovna 1 Fillastre, François 1 Franovsky, A. Z. 1 Frigerio, Roberto 1 Funar, Louis 1 García, Juan C. 1 Gehring, Frederick William 1 Geoghegan, Ross 1 Goldman, William M. 1 Gou, Gaoshun 1 Gromadzki, Grzegorz 1 Gromov, Mikhael Leonidovich 1 Herzlich, Marc 1 Hinojosa, Gabriela 1 Hruska, G. Christopher 1 Inoue, Katsumi 1 Ismagilov, Rais Sal’manovich 1 Ito, Kentaro 1 Ivanov, O. M. 1 Jiang, Yueping 1 Kamiya, Shigeyasu 1 Kulkarni, Ravi S. 1 Labourie, François 1 Landesberg, Or 1 Lawson, Herbert Blaine jun. 1 Li, Wenbo 1 Makarov, V. S. 1 Marenich, Valery B. 1 Marshall, Timothy H. 1 Mayeda, Dustin 1 Merrill, Keith 1 Meusburger, Catherine 1 Mishachev, K. N. 1 Molnár, Emil 1 Nikonorov, Yurii Gennadyevich 1 Parker, John R. 1 Peixoto, Mauricio Matos 1 Pinheiro, Diogo 1 Pinkall, Ulrich 1 Pinto, Alberto Adrego 1 Platis, Ioannis Dimou 1 Pohl, Anke D. 1 Ponomarev, Stanislav P. 1 Potyagaĭlo, L. D. 1 Potyagailo, Leonid 1 Ratcliffe, John G. 1 Rebelo, Julio C. 1 Reis, Helena ...and 27 more Authors
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### Cited in 62 Serials

 10 Geometriae Dedicata 8 Siberian Mathematical Journal 6 Transactions of the American Mathematical Society 6 Annals of Global Analysis and Geometry 5 Inventiones Mathematicae 4 Mathematical Notes 4 Topology and its Applications 4 Journal of Mathematical Sciences (New York) 3 Differential Geometry and its Applications 2 Bulletin of the Australian Mathematical Society 2 International Journal of Theoretical Physics 2 Journal of Geometry and Physics 2 Duke Mathematical Journal 2 Publications Mathématiques 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Acta Mathematica Hungarica 2 Bulletin des Sciences Mathématiques 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Transformation Groups 2 Conformal Geometry and Dynamics 2 Annals of Mathematics. Second Series 2 Algebraic & Geometric Topology 1 Israel Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Revista Colombiana de Matemáticas 1 Tôhoku Mathematical Journal. Second Series 1 Physica D 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Doklady Mathematics 1 Geometry & Topology 1 Discrete Dynamics in Nature and Society 1 Journal of the European Mathematical Society (JEMS) 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Computational Methods and Function Theory 1 Bulletin of the Brazilian Mathematical Society. New Series 1 International Journal of Number Theory 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Modern Dynamics 1 Albanian Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Korean Journal of Mathematics 1 Annales Fennici Mathematici
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### Cited in 28 Fields

 47 Manifolds and cell complexes (57-XX) 46 Functions of a complex variable (30-XX) 42 Differential geometry (53-XX) 20 Group theory and generalizations (20-XX) 18 Topological groups, Lie groups (22-XX) 15 Several complex variables and analytic spaces (32-XX) 13 Geometry (51-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Convex and discrete geometry (52-XX) 5 Number theory (11-XX) 4 Partial differential equations (35-XX) 4 Quantum theory (81-XX) 3 Operator theory (47-XX) 3 Relativity and gravitational theory (83-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX)