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 Documents Indexed: 42 Publications since 1993 Reviewing Activity: 32 Reviews
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#### Co-Authors

 22 single-authored 6 Kapovitch, Vitali 2 Hu, Jing 2 Kwasik, Sławomir 2 Schultz, Reinhard E. 1 Banakh, Taras Onufrievich 1 Choi, Eric 1 Farrell, F. Thomas 1 Ghomi, Mohammad 1 Hruska, G. Christopher 1 Innami, Nobuhiro 1 Jiang, Zixin 1 Osin, Denis V. 1 Szczepański, Andrzej 1 T. Tâm Nguyễn Phan 1 Wei, Guofang 1 Wei, I.
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#### Serials

 4 Mathematische Annalen 4 Proceedings of the American Mathematical Society 3 Geometriae Dedicata 3 Journal of Differential Geometry 2 Advances in Mathematics 2 Pacific Journal of Mathematics 2 Geometric and Functional Analysis. GAFA 2 Groups, Geometry, and Dynamics 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Siberian Advances in Mathematics 1 Transformation Groups 1 Geometry & Topology 1 Algebraic & Geometric Topology 1 Pure and Applied Mathematics Quarterly 1 Journal of Topology and Analysis
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#### Fields

 32 Differential geometry (53-XX) 24 Manifolds and cell complexes (57-XX) 9 Group theory and generalizations (20-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Convex and discrete geometry (52-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 2 Potential theory (31-XX) 2 Algebraic topology (55-XX) 1 Nonassociative rings and algebras (17-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 134 times in 99 Documents Cited by Year
Obstructions to nonnegative curvature and rational homotopy theory. Zbl 1027.53036
2003
On co-Hopfian nilpotent groups. Zbl 1042.20022
2003
Moduli spaces of nonnegative sectional curvature and non-unique souls. Zbl 1242.53035
Belegradek, Igor; Kwasik, Slawomir; Schultz, Reinhard
2011
Rips construction and Kazhdan property (T). Zbl 1152.20039
2008
Topological obstructions to nonnegative curvature. Zbl 0997.53027
2001
Endomorphisms of relatively hyperbolic groups. With appendix by Oleg V. Belegradek. Zbl 1190.20034
2008
Rigidity and relative hyperbolicity of real hyperbolic hyperplane complements. Zbl 1252.53042
2012
Connectedness properties of the space of complete nonnegatively curved planes. Zbl 1327.58014
2015
Aspherical manifolds with relatively hyperbolic fundamental groups. Zbl 1139.20036
2007
Metrics of positive Ricci curvature on bundles. Zbl 1076.53045
2004
Complex hyperbolic hyperplane complements. Zbl 1279.57020
2012
On Mostow rigidity for variable negative curvature. Zbl 1039.53047
2002
Classification of negatively pinched manifolds with amenable fundamental groups. Zbl 1123.53016
2006
Aspherical manifolds, relative hyperbolicity, simplicial volume and assembly maps. Zbl 1137.20035
2006
Space of nonnegatively curved metrics and pseudoisotopies. Zbl 1372.53035
Belegradek, Igor; Farrell, F. Thomas; Kapovitch, Vitali
2017
Some curious Kleinian groups and hyperbolic 5-manifolds. Zbl 0894.57009
1997
Metrics of positive Ricci curvature on vector bundles over nilmanifolds. Zbl 1029.53045
2002
Finiteness theorems for nonnegatively curved vector bundles. Zbl 1023.53021
2001
Erratum to: “Connectedness properties of the space of complete nonnegatively curved planes”. Zbl 1455.58007
2016
An assortment of negatively curved ends. Zbl 1285.53024
2013
Pinching estimates for negatively curved manifolds with nilpotent fundamental groups. Zbl 1101.53013
2005
Conformally flat Seifert manifolds. Zbl 0853.57009
1993
Codimension two souls and cancellation phenomena. Zbl 1314.53063
Belegradek, Igor; Kwasik, Sławomir; Schultz, Reinhard
2015
Intersections in hyperbolic manifolds. Zbl 0931.57009
1998
Obstructions to nonpositive curvature for open manifolds. Zbl 1306.53026
2014
Spaces of nonnegatively curved surfaces. Zbl 1396.53059
2018
The Gromov-Hausdorff hyperspace of nonnegatively curved $$2$$-spheres. Zbl 1427.53044
2018
Smoothness of Minkowski sum and generic rotations. Zbl 1376.52002
2017
Topology of open nonpositively curved manifolds. Zbl 1365.53040
2016
Pinching, Pontrjagin classes, and negatively curved vector bundles. Zbl 1025.53016
2001
Vector bundles with infinitely many souls. Zbl 1027.53033
2003
Rays and souls in von Mangoldt planes. Zbl 1268.53041
Belegradek, Igor; Choi, Eric; Innami, Nobuhiro
2012
Hyperplane arrangements in negatively curved manifolds and relative hyperbolicity. Zbl 1327.20045
2013
Open aspherical manifolds not covered by the Euclidean space. Zbl 1321.57027
2015
Counting open negatively curved manifolds up to tangential homotopy equivalence. Zbl 0968.53026
1998
Lipschitz precompactness for closed negatively curved manifolds. Zbl 0958.53033
1999
Hyperspaces of smooth convex bodies up to congruence. Zbl 1454.54008
2018
Spaces of nonnegatively curved surfaces. Zbl 1396.53059
2018
The Gromov-Hausdorff hyperspace of nonnegatively curved $$2$$-spheres. Zbl 1427.53044
2018
Hyperspaces of smooth convex bodies up to congruence. Zbl 1454.54008
2018
Space of nonnegatively curved metrics and pseudoisotopies. Zbl 1372.53035
Belegradek, Igor; Farrell, F. Thomas; Kapovitch, Vitali
2017
Smoothness of Minkowski sum and generic rotations. Zbl 1376.52002
2017
Erratum to: “Connectedness properties of the space of complete nonnegatively curved planes”. Zbl 1455.58007
2016
Topology of open nonpositively curved manifolds. Zbl 1365.53040
2016
Connectedness properties of the space of complete nonnegatively curved planes. Zbl 1327.58014
2015
Codimension two souls and cancellation phenomena. Zbl 1314.53063
Belegradek, Igor; Kwasik, Sławomir; Schultz, Reinhard
2015
Open aspherical manifolds not covered by the Euclidean space. Zbl 1321.57027
2015
Obstructions to nonpositive curvature for open manifolds. Zbl 1306.53026
2014
An assortment of negatively curved ends. Zbl 1285.53024
2013
Hyperplane arrangements in negatively curved manifolds and relative hyperbolicity. Zbl 1327.20045
2013
Rigidity and relative hyperbolicity of real hyperbolic hyperplane complements. Zbl 1252.53042
2012
Complex hyperbolic hyperplane complements. Zbl 1279.57020
2012
Rays and souls in von Mangoldt planes. Zbl 1268.53041
Belegradek, Igor; Choi, Eric; Innami, Nobuhiro
2012
Moduli spaces of nonnegative sectional curvature and non-unique souls. Zbl 1242.53035
Belegradek, Igor; Kwasik, Slawomir; Schultz, Reinhard
2011
Rips construction and Kazhdan property (T). Zbl 1152.20039
2008
Endomorphisms of relatively hyperbolic groups. With appendix by Oleg V. Belegradek. Zbl 1190.20034
2008
Aspherical manifolds with relatively hyperbolic fundamental groups. Zbl 1139.20036
2007
Classification of negatively pinched manifolds with amenable fundamental groups. Zbl 1123.53016
2006
Aspherical manifolds, relative hyperbolicity, simplicial volume and assembly maps. Zbl 1137.20035
2006
Pinching estimates for negatively curved manifolds with nilpotent fundamental groups. Zbl 1101.53013
2005
Metrics of positive Ricci curvature on bundles. Zbl 1076.53045
2004
Obstructions to nonnegative curvature and rational homotopy theory. Zbl 1027.53036
2003
On co-Hopfian nilpotent groups. Zbl 1042.20022
2003
Vector bundles with infinitely many souls. Zbl 1027.53033
2003
On Mostow rigidity for variable negative curvature. Zbl 1039.53047
2002
Metrics of positive Ricci curvature on vector bundles over nilmanifolds. Zbl 1029.53045
2002
Topological obstructions to nonnegative curvature. Zbl 0997.53027
2001
Finiteness theorems for nonnegatively curved vector bundles. Zbl 1023.53021
2001
Pinching, Pontrjagin classes, and negatively curved vector bundles. Zbl 1025.53016
2001
Lipschitz precompactness for closed negatively curved manifolds. Zbl 0958.53033
1999
Intersections in hyperbolic manifolds. Zbl 0931.57009
1998
Counting open negatively curved manifolds up to tangential homotopy equivalence. Zbl 0968.53026
1998
Some curious Kleinian groups and hyperbolic 5-manifolds. Zbl 0894.57009
1997
Conformally flat Seifert manifolds. Zbl 0853.57009
1993
all top 5

#### Cited by 130 Authors

 18 Belegradek, Igor 3 Amann, Manuel 3 González-Álvaro, David 3 Guirardel, Vincent 3 Osin, Denis V. 2 Dahmani, François 2 Dessai, Anand Naique 2 Grove, Karsten 2 Kapovitch, Vitali 2 Kwasik, Sławomir 2 Minemyer, Barry 2 Schultz, Reinhard E. 2 Tapp, Kristopher 2 Tuschmann, Wilderich 2 Wraith, David J. 2 Yamaguchi, Toshihiro 2 Ziller, Wolfgang 1 Abbassi, Mohamed Tahar Kadaoui 1 Albuquerque, Rui P. 1 Alexander, Stephanie B. 1 Amarasinghe, A. K. 1 Amarasinghe, Ashwini 1 Antonyan, Sergey A. 1 Arzhantseva, Goulnara N. 1 Avramidi, Grigori 1 Ballmann, Hans Werner 1 Banakh, Taras Onufrievich 1 Berlatto, Adilson 1 Bessières, Laurent 1 Besson, Gérard 1 Biswas, Kingshook 1 Blank, Matthias 1 Boege, Margareta 1 Bridson, Martin R. 1 Brüning, Jochen 1 Bucher, Michelle 1 Burger, Marc 1 Bustamante, Mauricio 1 Calcut, Jack S. 1 Carron, Gilles 1 Cerocchi, Filippo 1 Chen, Hao 1 Cheng, Jian 1 Clark, Alex 1 Coll, Vincent E. jun. 1 Cooper, Daryl 1 Cotton-Barratt, Owen 1 Cui, Xiaojun 1 Dai, Xianzhe 1 Davis, Michael W. 1 Delzant, Thomas 1 Dranishnikov, Alexander Nikolaevich 1 Druţu, Cornelia 1 Farrell, F. Thomas 1 Florit, Luis A. 1 Fowler, Jim 1 Frigerio, Roberto 1 Fujiwara, Koji 1 Ghomi, Mohammad 1 Gompf, Robert E. 1 Goodman, Mcfeely Jackson 1 Groves, Daniel P. 1 Guilbault, Craig R. 1 Hammerlindl, Andy 1 Hamrouni, Hatem 1 Hinojosa, Gabriela 1 Ho, Meng-Che 1 Hruska, G. Christopher 1 Hu, Jing 1 Hurder, Steven E. 1 Iozzi, Alessandra 1 Jiang, Yi 1 Kalogeropoulos, Nikos 1 Kapovich, Ilya 1 Kennard, Lee 1 Klaus, Stephan 1 Kotschick, Dieter 1 Kunyavskiĭ, Boris Èmmanuilovich 1 Lafont, Jean-François 1 Lakrini, Ibrahim 1 Levitt, Gilbert 1 Logan, Alan D. 1 Long, Darren D. 1 Lück, Wolfgang 1 Lukina, Olga 1 Lukyanenko, Anton 1 Lupton, Gregory M. 1 Mackay John, M. 1 Maillot, Sylvain 1 Manning, Jason Fox 1 Marques, Fernando Codá 1 Metaftsis, Vassilis 1 Mj, Mahan 1 Mondal, Arghya 1 Nekrashevych, Volodymyr V. 1 Neofytidis, Christoforos 1 Nishinobu, Hirokazu 1 Noskov, Guennadi A. 1 Ontaneda, Pedro 1 Osajda, Damian ...and 30 more Authors
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#### Cited in 50 Serials

 6 Advances in Mathematics 6 Groups, Geometry, and Dynamics 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 5 Algebraic & Geometric Topology 4 Journal of Topology and Analysis 3 Duke Mathematical Journal 3 Mathematische Annalen 3 Topology and its Applications 3 Annals of Global Analysis and Geometry 3 Geometry & Topology 2 Annales de l’Institut Fourier 2 Czechoslovak Mathematical Journal 2 Geometriae Dedicata 2 Publications Mathématiques 2 Inventiones Mathematicae 2 Journal of Pure and Applied Algebra 2 Osaka Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Differential Geometry and its Applications 2 Topology Proceedings 2 Conformal Geometry and Dynamics 2 Journal of the European Mathematical Society (JEMS) 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Mathematica 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Journal of Algebra 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Journal of the American Mathematical Society 1 International Journal of Algebra and Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 Archive for Mathematical Logic 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Transformation Groups 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 International Journal of Geometric Methods in Modern Physics 1 Frontiers of Mathematics in China 1 Journal de l’École Polytechnique – Mathématiques
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#### Cited in 23 Fields

 51 Differential geometry (53-XX) 49 Manifolds and cell complexes (57-XX) 40 Group theory and generalizations (20-XX) 14 Algebraic topology (55-XX) 11 Global analysis, analysis on manifolds (58-XX) 6 Topological groups, Lie groups (22-XX) 6 Several complex variables and analytic spaces (32-XX) 5 General topology (54-XX) 4 Geometry (51-XX) 3 Mathematical logic and foundations (03-XX) 3 $$K$$-theory (19-XX) 3 Functions of a complex variable (30-XX) 2 General algebraic systems (08-XX) 2 Category theory; homological algebra (18-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Statistical mechanics, structure of matter (82-XX)