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## Wilking, Burkhard

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 Author ID: wilking.burkhard Published as: Wilking, B.; Wilking, Burkhard External Links: MGP · Wikidata · GND
 Documents Indexed: 36 Publications since 1998, including 2 Books
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#### Co-Authors

 13 single-authored 6 Lott, John 6 Taimanov, Iskander Asanovich 4 Grove, Karsten 3 Bohm, Christoph 3 Ziller, Wolfgang 2 Arroja Neves, André 2 Cabezas-Rivas, Esther 2 Dessai, Anand Naique 1 Bamler, Richard H. 1 Ecker, Klaus 1 Lytchak, Alexander 1 Ni, Lei 1 Radeschi, Marco 1 Shankar, Krishnan 1 Spatzier, Ralf J. 1 Tuschmann, Wilderich 1 Verdiani, Luigi 1 Yeager, Joseph
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#### Serials

 8 Oberwolfach Reports 4 Inventiones Mathematicae 3 Geometric and Functional Analysis. GAFA 2 Journal of Differential Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Geometry & Topology 2 Annals of Mathematics. Second Series 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Differential Geometry and its Applications 1 Journal of the European Mathematical Society (JEMS) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
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#### Fields

 35 Differential geometry (53-XX) 8 General and overarching topics; collections (00-XX) 8 Manifolds and cell complexes (57-XX) 7 Global analysis, analysis on manifolds (58-XX) 2 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 517 times in 378 Documents Cited by Year
Manifolds with positive curvature operators are space forms. Zbl 1185.53073
Böhm, Christoph; Wilking, Burkhard
2008
Positively curved cohomogeneity one manifolds and 3-Sasakian geometry. Zbl 1145.53023
Grove, Karsten; Wilking, Burkhard; Ziller, Wolfgang
2008
Torus actions on manifolds of positive sectional curvature. Zbl 1062.53029
Wilking, Burkhard
2003
Index parity of closed geodesics and rigidity of Hopf fibrations. Zbl 1028.53044
Wilking, Burkhard
2001
A duality theorem for Riemannian foliations in nonnegative sectional curvature. Zbl 1139.53014
Wilking, Burkhard
2007
Manifolds with positive sectional curvature almost everywhere. Zbl 1038.53039
Wilking, Burkhard
2002
Nonnegatively curved manifolds with finite fundamental groups admit metrics with positive Ricci curvature. Zbl 1132.53035
Böhm, Christoph; Wilking, Burkhard
2007
Nonnegatively and positively curved manifolds. Zbl 1162.53026
Wilking, Burkhard
2007
A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry. Zbl 1317.53062
Grove, Karsten; Wilking, Burkhard
2014
The normal homogeneous space $${\bigl(SU(3)\times SO(3)\bigr)/ U^{\bullet}(2)}$$ has positive sectional curvature. Zbl 0948.53025
Wilking, Burkhard
1999
On fundamental groups of manifolds of nonnegative curvature. Zbl 0993.53018
Wilking, Burkhard
2000
How to produce a Ricci flow via Cheeger-Gromoll exhaustion. Zbl 1351.53078
Cabezas-Rivas, Esther; Wilking, Burkhard
2015
A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities. Zbl 1380.53078
Wilking, Burkhard
2013
Positively curved manifolds with symmetry. Zbl 1104.53030
Wilking, Burkhard
2006
Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres. Zbl 1170.53307
Grove, Karsten; Verdiani, Luigi; Wilking, Burkhard; Ziller, Wolfgang
2006
Revisiting homogeneous spaces with positive curvature. Zbl 1405.53076
Wilking, Burkhard; Ziller, Wolfgang
2018
Rigidity of group actions on solvable Lie groups. Zbl 0957.22009
Wilking, Burkhard
2000
Riemannian foliations of spheres. Zbl 1361.53022
Lytchak, Alexander; Wilking, Burkhard
2016
Spherical rank rigidity and Blaschke manifolds. Zbl 1082.53051
Shankar, K.; Spatzier, R.; Wilking, B.
2005
The Ricci flow under almost non-negative curvature conditions. Zbl 1418.53071
Bamler, Richard H.; Cabezas-Rivas, Esther; Wilking, Burkhard
2019
Torus actions on homotopy complex projective spaces. Zbl 1068.57034
Dessai, Anand; Wilking, Burkhard
2004
Manifolds with 1/4-pinched flag curvature. Zbl 1202.53039
Ni, Lei; Wilking, Burkhard
2010
Manifolds with positive curvature operators are space forms. Zbl 1099.53045
Böhm, Christoph; Wilking, Burkhard
2006
On compact Riemannian manifolds with noncompact holonomy groups. Zbl 0979.53057
Wilking, Burkhard
1999
On the Berger conjecture for manifolds all of whose geodesics are closed. Zbl 1385.53029
Radeschi, Marco; Wilking, Burkhard
2017
Group actions on manifolds of positive sectional curvature. XII school of differential geometry, Goiânia, Brazil, July 2002. Zbl 1051.53030
Wilking, Burkhard
2002
The Ricci flow under almost non-negative curvature conditions. Zbl 1418.53071
Bamler, Richard H.; Cabezas-Rivas, Esther; Wilking, Burkhard
2019
Revisiting homogeneous spaces with positive curvature. Zbl 1405.53076
Wilking, Burkhard; Ziller, Wolfgang
2018
On the Berger conjecture for manifolds all of whose geodesics are closed. Zbl 1385.53029
Radeschi, Marco; Wilking, Burkhard
2017
Riemannian foliations of spheres. Zbl 1361.53022
Lytchak, Alexander; Wilking, Burkhard
2016
How to produce a Ricci flow via Cheeger-Gromoll exhaustion. Zbl 1351.53078
Cabezas-Rivas, Esther; Wilking, Burkhard
2015
A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry. Zbl 1317.53062
Grove, Karsten; Wilking, Burkhard
2014
A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities. Zbl 1380.53078
Wilking, Burkhard
2013
Manifolds with 1/4-pinched flag curvature. Zbl 1202.53039
Ni, Lei; Wilking, Burkhard
2010
Manifolds with positive curvature operators are space forms. Zbl 1185.53073
Böhm, Christoph; Wilking, Burkhard
2008
Positively curved cohomogeneity one manifolds and 3-Sasakian geometry. Zbl 1145.53023
Grove, Karsten; Wilking, Burkhard; Ziller, Wolfgang
2008
A duality theorem for Riemannian foliations in nonnegative sectional curvature. Zbl 1139.53014
Wilking, Burkhard
2007
Nonnegatively curved manifolds with finite fundamental groups admit metrics with positive Ricci curvature. Zbl 1132.53035
Böhm, Christoph; Wilking, Burkhard
2007
Nonnegatively and positively curved manifolds. Zbl 1162.53026
Wilking, Burkhard
2007
Positively curved manifolds with symmetry. Zbl 1104.53030
Wilking, Burkhard
2006
Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres. Zbl 1170.53307
Grove, Karsten; Verdiani, Luigi; Wilking, Burkhard; Ziller, Wolfgang
2006
Manifolds with positive curvature operators are space forms. Zbl 1099.53045
Böhm, Christoph; Wilking, Burkhard
2006
Spherical rank rigidity and Blaschke manifolds. Zbl 1082.53051
Shankar, K.; Spatzier, R.; Wilking, B.
2005
Torus actions on homotopy complex projective spaces. Zbl 1068.57034
Dessai, Anand; Wilking, Burkhard
2004
Torus actions on manifolds of positive sectional curvature. Zbl 1062.53029
Wilking, Burkhard
2003
Manifolds with positive sectional curvature almost everywhere. Zbl 1038.53039
Wilking, Burkhard
2002
Group actions on manifolds of positive sectional curvature. XII school of differential geometry, Goiânia, Brazil, July 2002. Zbl 1051.53030
Wilking, Burkhard
2002
Index parity of closed geodesics and rigidity of Hopf fibrations. Zbl 1028.53044
Wilking, Burkhard
2001
On fundamental groups of manifolds of nonnegative curvature. Zbl 0993.53018
Wilking, Burkhard
2000
Rigidity of group actions on solvable Lie groups. Zbl 0957.22009
Wilking, Burkhard
2000
The normal homogeneous space $${\bigl(SU(3)\times SO(3)\bigr)/ U^{\bullet}(2)}$$ has positive sectional curvature. Zbl 0948.53025
Wilking, Burkhard
1999
On compact Riemannian manifolds with noncompact holonomy groups. Zbl 0979.53057
Wilking, Burkhard
1999
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#### Cited by 355 Authors

 13 Galaz-Garcia, Fernando 10 Wang, Yusheng 9 Kennard, Lee 9 Wilking, Burkhard 9 Ziller, Wolfgang 8 DeVito, Jason 8 Guijarro, Luis 8 Ni, Lei 7 Brendle, Simon 7 Deng, Shaoqiang 7 Grove, Karsten 7 Radeschi, Marco 7 Rong, Xiaochun 7 Shankar, Krishnan 7 Tapp, Kristopher 7 Wang, Wei 6 Amann, Manuel 6 Kerin, Martin 6 Lytchak, Alexander 6 Schmidt, Benjamin 6 Searle, Catherine 6 Xu, Ming 5 Catino, Giovanni 5 Dessai, Anand Naique 5 Grama, Lino 5 Stepanov, Sergeĭ Evgen’evich 5 Tuschmann, Wilderich 5 Walschap, Gerard 5 Wylie, William C. 5 Xu, Hongwei 4 Bettiol, Renato G. 4 Fang, Fuquan 4 Gu, Juan-Ru 4 Kapovitch, Vitali 4 Mendes, Ricardo A. E. 4 Petersen, Peter V 4 Seshadri, Harish 4 Topping, Peter Miles 3 Abiev, Nurlan Abievich 3 Alexandrino, Marcos M. 3 Belegradek, Igor 3 Cabezas-Rivas, Esther 3 Cao, Xiaodong 3 Chen, Xiaoyang 3 Florit, Luis A. 3 Goette, Sebastian 3 González-Álvaro, David 3 Hermann, Martin 3 Hu, Zhiguang 3 Kim, Jin Hong 3 Lee, Jong Bum 3 Lee, Man-Chun 3 Long, Yiming 3 Mantegazza, Carlo 3 Miranda Martins, Ricardo 3 Munteanu, Ovidiu 3 Núñez-Zimbrón, Jesús 3 Pan, Jiayin 3 Petrunin, Anton Mikhailovich 3 Püttmann, Thomas 3 Shi, Yi 3 Sinestrari, Carlo 3 Spatzier, Ralf J. 3 Su, Xiaole 3 Tsyganok, Irina Ivanovna 3 Wilhelm, Frederick H. jun. 3 Wraith, David J. 3 Yeroshkin, Dmytro 2 Ahmadi, Parviz 2 Barbosa, Ezequiel R. 2 Bechtluft-Sachs, Stefan 2 Berestovskiĭ, Valeriĭ Nikolaevich 2 Bohm, Christoph 2 Chau, Albert 2 Cheng, Liang 2 Do Prado, Rafaela F. 2 Eschenburg, Jost-Hinrich 2 Escher, Christine M. 2 Frank, Philipp 2 Gao, Xiang 2 Ge, Jianquan 2 Giesen, Gregor 2 Goertsches, Oliver 2 Gorbatsevich, Vladimir Vital’evich 2 Gorodski, Claudio 2 Harvey, John Matthew 2 He, Chenxu 2 Hoelscher, Corey A. 2 Kashani, Seyed Mohammad Bagher 2 Kerr, Megan M. 2 Knopf, Dan 2 Kuroki, Shintarô 2 Lafuente, Ramiro A. 2 Li, Yu 2 Losert, Viktor 2 Lott, John 2 Ma, Li 2 Mare, Augustin-Liviu 2 Mikeš, Josef 2 Munn, Michael ...and 255 more Authors
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#### Cited in 102 Serials

 25 Proceedings of the American Mathematical Society 22 Annals of Global Analysis and Geometry 21 Geometriae Dedicata 19 Differential Geometry and its Applications 18 Mathematische Zeitschrift 18 The Journal of Geometric Analysis 17 Transactions of the American Mathematical Society 13 Advances in Mathematics 13 Mathematische Annalen 11 Calculus of Variations and Partial Differential Equations 10 Geometric and Functional Analysis. GAFA 10 Geometry & Topology 7 Journal für die Reine und Angewandte Mathematik 7 Frontiers of Mathematics in China 6 Transformation Groups 5 Inventiones Mathematicae 5 Topology and its Applications 4 Journal of Geometry and Physics 4 Duke Mathematical Journal 4 Journal of the European Mathematical Society (JEMS) 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Mathematical Analysis and Applications 3 Annales de l’Institut Fourier 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Archiv der Mathematik 3 Bulletin of the London Mathematical Society 3 Commentarii Mathematici Helvetici 3 Journal of Functional Analysis 3 Manuscripta Mathematica 3 Osaka Journal of Mathematics 3 International Journal of Mathematics 3 Communications in Partial Differential Equations 3 Journal of Mathematical Sciences (New York) 3 Documenta Mathematica 3 Annals of Mathematics. Second Series 3 Communications in Contemporary Mathematics 3 Algebraic & Geometric Topology 3 Journal of Fixed Point Theory and Applications 2 Acta Mathematica 2 Compositio Mathematica 2 Journal of Algebra 2 Journal of the Korean Mathematical Society 2 Journal of the Mathematical Society of Japan 2 Pacific Journal of Mathematics 2 Results in Mathematics 2 Tohoku Mathematical Journal. Second Series 2 Journal of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of the American Mathematical Society. New Series 2 Balkan Journal of Geometry and its Applications (BJGA) 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Electronic Research Announcements in Mathematical Sciences 2 European Journal of Mathematics 2 Geometric Flows 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Canadian Journal of Mathematics 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Michigan Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Tokyo Journal of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Indagationes Mathematicae. New Series 1 Potential Analysis 1 Bulletin des Sciences Mathématiques 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Matematicheskie Trudy 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Lobachevskii Journal of Mathematics 1 Advances in Geometry 1 Advanced Nonlinear Studies 1 International Journal of Geometric Methods in Modern Physics 1 Fixed Point Theory and Applications 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Topology 1 Involve 1 Journal of Topology and Analysis 1 Japanese Journal of Mathematics. 3rd Series 1 São Paulo Journal of Mathematical Sciences 1 Kyoto Journal of Mathematics 1 Analysis and Mathematical Physics ...and 2 more Serials
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#### Cited in 28 Fields

 341 Differential geometry (53-XX) 106 Manifolds and cell complexes (57-XX) 56 Global analysis, analysis on manifolds (58-XX) 25 Algebraic topology (55-XX) 23 Partial differential equations (35-XX) 22 Topological groups, Lie groups (22-XX) 15 Several complex variables and analytic spaces (32-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Group theory and generalizations (20-XX) 6 Ordinary differential equations (34-XX) 6 Geometry (51-XX) 5 Algebraic geometry (14-XX) 3 Commutative algebra (13-XX) 3 $$K$$-theory (19-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)

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