Edit Profile (opens in new tab) Walschap, Gerard Co-Author Distance Author ID: walschap.gerard Published as: Walschap, Gerard; Walschap, G. External Links: MGP Documents Indexed: 39 Publications since 1988, including 3 Books Co-Authors: 12 Co-Authors with 22 Joint Publications 274 Co-Co-Authors all top 5 Co-Authors 17 single-authored 10 Guijarro, Luis 3 Gromoll, Detlef 3 Strake, Martin 1 Angulo Ardoy, Pablo 1 Basmajian, Ara S. 1 De Sapio, Rodolfo 1 Kim, Hyang Sook 1 Ou, Ye-Lin 1 Ozaydin, Murad 1 Petersen, Peter V 1 Sadun, Lorenzo A. 1 Schick, Thomas all top 5 Serials 5 Proceedings of the American Mathematical Society 3 Illinois Journal of Mathematics 3 Journal of Differential Geometry 3 The Journal of Geometric Analysis 2 Manuscripta Mathematica 2 Pacific Journal of Mathematics 2 Differential Geometry and its Applications 1 Classical and Quantum Gravity 1 General Relativity and Gravitation 1 Journal of Geometry and Physics 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Topology 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 The Asian Journal of Mathematics 1 Graduate Texts in Mathematics 1 Progress in Mathematics 1 De Gruyter Textbook all top 5 Fields 38 Differential geometry (53-XX) 7 Manifolds and cell complexes (57-XX) 3 Relativity and gravitational theory (83-XX) 2 Algebraic topology (55-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 230 times in 156 Documents Cited by ▼ Year ▼ Metric foliations and curvature. Zbl 1163.53001 Gromoll, Detlef; Walschap, Gerard 50 2009 Vector bundles with no soul. Zbl 0790.53038 Özaydin, Murad; Walschap, Gerard 16 1994 Metric structures in differential geometry. Zbl 1083.53002 Walschap, Gerard 16 2004 Nonnegatively curved manifolds with souls of codimension 2. Zbl 0654.53048 Walschap, Gerard 15 1988 The metric projection onto the soul. Zbl 0963.53017 Guijarro, Luis; Walschap, Gerard 14 2000 Metric foliations and curvature. Zbl 0769.53021 Walschap, Gerard 11 1992 When is a Riemannian submersion homogeneous? Zbl 1125.53027 Guijarro, Luis; Walschap, Gerard 7 2007 Soul-preserving submersions. Zbl 0822.53025 Walschap, Gerard 6 1994 Connection metrics of nonnegative curvature on vector bundles. Zbl 0695.53032 Strake, Martin; Walschap, Gerard 6 1990 Foliations of symmetric spaces. Zbl 0795.53027 Walschap, Gerard 6 1993 Diffeomorphism of total spaces and equivalence of bundles. Zbl 0955.55008 De Sapio, Rodolfo; Walschap, Gerard 5 2000 \(\Sigma\)-flat manifolds and Riemannian submersions. Zbl 0687.53039 Strake, M.; Walschap, G. 5 1989 A splitting theorem for 4-dimensional manifolds of nonnegative curvature. Zbl 0662.53033 Walschap, Gerard 5 1988 Bundles with spherical Euler class. Zbl 1065.53040 Guijarro, Luis; Schick, Thomas; Walschap, Gerard 5 2002 Umbilic foliations and curvature. Zbl 0880.53025 Walschap, Gerard 5 1997 Riemannian foliations on compact hyperbolic manifolds. Zbl 0810.53018 Kim, H.; Walschap, G. 5 1992 The metric fibrations of Euclidean space. Zbl 1032.53026 Gromoll, Detlef; Walschap, Gerard 4 2001 Cut and conjugate loci in two-step nilpotent Lie groups. Zbl 0936.53026 Walschap, Gerard 4 1997 Geometric vector fields on Lie groups. Zbl 0930.53025 Walschap, Gerard 4 1997 Causality relations on a class of spacetimes. Zbl 0844.53067 Walschap, Gerard 4 1995 Twisted submersions in nonnegative sectional curvature. Zbl 1277.53033 Angulo-Ardoy, Pablo; Guijarro, Luis; Walschap, Gerard 4 2013 The dual foliation in open manifolds with nonnegative sectional curvature. Zbl 1139.53019 Guijarro, Luis; Walschap, Gerard 4 2008 The Euler class as a cohomology generator. Zbl 1020.57007 Walschap, Gerard 3 2002 Twisting and nonnegative curvature metrics on vector bundles over the round sphere. Zbl 1035.53041 Guijarro, Luis; Walschap, Gerard 3 1999 Transitive holonomy group and rigidity in nonnegative curvature. Zbl 0988.53023 Guijarro, Luis; Walschap, Gerard 3 2001 Parallel connections over symmetric spaces. Zbl 1001.53009 Guijarro, Luis; Sadun, Lorenzo; Walschap, Gerard 3 2001 Some rigidity aspects of Riemannian fibrations. Zbl 0791.53037 Walschap, Gerard 3 1993 Metric fibrations in Euclidean space. Zbl 0955.53015 Gromoll, Detlef; Walschap, Gerard 3 1997 Metric flows in space forms of nonpositive curvature. Zbl 0848.53021 Basmajian, Ara; Walschap, Gerard 3 1995 Submetries vs. submersions. Zbl 1235.53038 Guijarro, Luis; Walschap, Gerard 3 2011 The soul at infinity in dimension 4. Zbl 0722.53031 Walschap, Gerard 2 1991 A classification of horizontally homothetic submersions from space forms of nonnegative curvature. Zbl 1105.53026 Ou, Ye-Lin; Walschap, Gerard 2 2006 Observer fields and the strong energy condition. Zbl 0861.53065 Petersen, Peter; Walschap, Gerard 1 1996 Twisted submersions in nonnegative sectional curvature. Zbl 1277.53033 Angulo-Ardoy, Pablo; Guijarro, Luis; Walschap, Gerard 4 2013 Submetries vs. submersions. Zbl 1235.53038 Guijarro, Luis; Walschap, Gerard 3 2011 Metric foliations and curvature. Zbl 1163.53001 Gromoll, Detlef; Walschap, Gerard 50 2009 The dual foliation in open manifolds with nonnegative sectional curvature. Zbl 1139.53019 Guijarro, Luis; Walschap, Gerard 4 2008 When is a Riemannian submersion homogeneous? Zbl 1125.53027 Guijarro, Luis; Walschap, Gerard 7 2007 A classification of horizontally homothetic submersions from space forms of nonnegative curvature. Zbl 1105.53026 Ou, Ye-Lin; Walschap, Gerard 2 2006 Metric structures in differential geometry. Zbl 1083.53002 Walschap, Gerard 16 2004 Bundles with spherical Euler class. Zbl 1065.53040 Guijarro, Luis; Schick, Thomas; Walschap, Gerard 5 2002 The Euler class as a cohomology generator. Zbl 1020.57007 Walschap, Gerard 3 2002 The metric fibrations of Euclidean space. Zbl 1032.53026 Gromoll, Detlef; Walschap, Gerard 4 2001 Transitive holonomy group and rigidity in nonnegative curvature. Zbl 0988.53023 Guijarro, Luis; Walschap, Gerard 3 2001 Parallel connections over symmetric spaces. Zbl 1001.53009 Guijarro, Luis; Sadun, Lorenzo; Walschap, Gerard 3 2001 The metric projection onto the soul. Zbl 0963.53017 Guijarro, Luis; Walschap, Gerard 14 2000 Diffeomorphism of total spaces and equivalence of bundles. Zbl 0955.55008 De Sapio, Rodolfo; Walschap, Gerard 5 2000 Twisting and nonnegative curvature metrics on vector bundles over the round sphere. Zbl 1035.53041 Guijarro, Luis; Walschap, Gerard 3 1999 Umbilic foliations and curvature. Zbl 0880.53025 Walschap, Gerard 5 1997 Cut and conjugate loci in two-step nilpotent Lie groups. Zbl 0936.53026 Walschap, Gerard 4 1997 Geometric vector fields on Lie groups. Zbl 0930.53025 Walschap, Gerard 4 1997 Metric fibrations in Euclidean space. Zbl 0955.53015 Gromoll, Detlef; Walschap, Gerard 3 1997 Observer fields and the strong energy condition. Zbl 0861.53065 Petersen, Peter; Walschap, Gerard 1 1996 Causality relations on a class of spacetimes. Zbl 0844.53067 Walschap, Gerard 4 1995 Metric flows in space forms of nonpositive curvature. Zbl 0848.53021 Basmajian, Ara; Walschap, Gerard 3 1995 Vector bundles with no soul. Zbl 0790.53038 Özaydin, Murad; Walschap, Gerard 16 1994 Soul-preserving submersions. Zbl 0822.53025 Walschap, Gerard 6 1994 Foliations of symmetric spaces. Zbl 0795.53027 Walschap, Gerard 6 1993 Some rigidity aspects of Riemannian fibrations. Zbl 0791.53037 Walschap, Gerard 3 1993 Metric foliations and curvature. Zbl 0769.53021 Walschap, Gerard 11 1992 Riemannian foliations on compact hyperbolic manifolds. Zbl 0810.53018 Kim, H.; Walschap, G. 5 1992 The soul at infinity in dimension 4. Zbl 0722.53031 Walschap, Gerard 2 1991 Connection metrics of nonnegative curvature on vector bundles. Zbl 0695.53032 Strake, Martin; Walschap, Gerard 6 1990 \(\Sigma\)-flat manifolds and Riemannian submersions. Zbl 0687.53039 Strake, M.; Walschap, G. 5 1989 Nonnegatively curved manifolds with souls of codimension 2. Zbl 0654.53048 Walschap, Gerard 15 1988 A splitting theorem for 4-dimensional manifolds of nonnegative curvature. Zbl 0662.53033 Walschap, Gerard 5 1988 all cited Publications top 5 cited Publications all top 5 Cited by 179 Authors 12 Walschap, Gerard 8 Tapp, Kristopher 7 Guijarro, Luis 6 Alexandrino, Marcos M. 6 Sperança, Llohann Dallagnol 5 González-Álvaro, David 5 Radeschi, Marco 4 Amann, Manuel 4 Lytchak, Alexander 4 Ou, Ye-Lin 4 Wilhelm, Frederick H. jun. 3 Belegradek, Igor 3 Byun, Taechang 3 Escobales, Richard H. jun. 3 Ge, Jianquan 3 González-Cervantes, José Óscar 3 Grove, Karsten 3 Kapovitch, Vitali 3 Shi, Yi 3 Ziller, Wolfgang 2 Ahangari, Fatemeh 2 Bettiol, Renato G. 2 Cavenaghi, Leonardo Francisco 2 Chen, Xiaoyang 2 Corro, Diego 2 Durán Fernandez, Carlos Eduardo 2 Gornet, Ruth 2 Gorodski, Claudio 2 Mast, Maura B. 2 Minguzzi, Ettore 2 Munteanu, Marius 2 Nagy, Paul-Andi 2 Petersen, Peter V 2 Pro, Curtis 2 Rovenskiĭ, Vladimir Yuzefovich 2 Sadowski, Michał 2 Sati, Hisham 2 Schreiber, Urs 2 Searle, Catherine 2 Strake, Martin 2 Zibrowius, Marcus 1 Adelstein, Ian M. 1 Alberti, Frederic 1 Albuquerque, Rui P. 1 Alves, Benigno O. 1 Angulo Ardoy, Pablo 1 Bădiţoiu, Gabriel 1 Barbosa, João Lucas Marques 1 Basmajian, Ara S. 1 Battaglia, Erika 1 Biagi, Stefano 1 Biggs, Rory 1 Bolotov, Dmitriĭ Valer’evich 1 Briquet, Rafael 1 Braga Brito, Fabiano Gustavo 1 Cairns, Grant 1 Chaves, Lucas Monteiro 1 de Hoop, Maarten V. 1 De Lima, Ronaldo Freire 1 De Sapio, Rodolfo 1 Derdzinski, Andrzej 1 Domínguez-Vázquez, Miguel 1 Dong, Yuxin 1 e Silva, Renato J. M. 1 Escher, Christine M. 1 Escobar, José Fernando 1 Escobosa, Fernando M. 1 Farrell, F. Thomas 1 Fernández, Juan Carlos 1 Ferreira, Walterson Pereira 1 Fiorenza, Domenico 1 Florit, Luis A. 1 Freire, Alexandre 1 Galaz-Garcia, Fernando 1 Gamkrelidze, Revaz Valerianovich 1 Gao, Liu 1 García-Río, Eduardo 1 Ghahremani-Gol, Hajar 1 Gonçalves, Icaro 1 Grama, Lino 1 Guediri, Mohammed 1 Guillemard, Mijail 1 Gülbahar, Mehmet 1 Gumaer, Dennis 1 Hernández-Moguel, Luis Fernando 1 Herrera, Rafael 1 Holman, Sean F. 1 Huang, Xin 1 Ianus, Stere 1 Inagaki, Marcelo K. 1 Iske, Armin 1 Iversen, Einar 1 Izmailova, Z. A. 1 Jang, Changrim 1 Javaloyes, Miguel Angel 1 Jo, Kyeonghee 1 Kalafat, Mustafa 1 Keles, Sadık 1 Kell, Martin 1 Kennard, Lee ...and 79 more Authors all top 5 Cited in 67 Serials 12 Proceedings of the American Mathematical Society 12 The Journal of Geometric Analysis 7 Journal of Geometry and Physics 7 Annals of Global Analysis and Geometry 7 Differential Geometry and its Applications 6 Advances in Mathematics 6 Geometriae Dedicata 6 Mathematische Zeitschrift 5 Geometry & Topology 4 Mathematische Annalen 4 Transactions of the American Mathematical Society 3 Communications in Mathematical Physics 3 Archiv der Mathematik 3 Duke Mathematical Journal 3 Manuscripta Mathematica 3 Michigan Mathematical Journal 3 Journal of Mathematical Sciences (New York) 2 Bulletin of the London Mathematical Society 2 Journal of Differential Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Tokyo Journal of Mathematics 2 Revista Matemática Iberoamericana 2 Advances in Applied Clifford Algebras 2 Advances in Geometry 2 Algebraic & Geometric Topology 2 São Paulo Journal of Mathematical Sciences 1 Bulletin of the Australian Mathematical Society 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Reviews in Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Calcolo 1 Canadian Mathematical Bulletin 1 Information Sciences 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of Soviet Mathematics 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Topology and its Applications 1 Systems & Control Letters 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Calculus of Variations and Partial Differential Equations 1 St. Petersburg Mathematical Journal 1 Turkish Journal of Mathematics 1 Sbornik: Mathematics 1 Transformation Groups 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Living Reviews in Relativity 1 Annales Henri Poincaré 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Complex Variables and Elliptic Equations 1 Frontiers of Mathematics in China 1 International Electronic Journal of Geometry 1 European Journal of Mathematics 1 Complex Manifolds 1 AIMS Mathematics all top 5 Cited in 28 Fields 138 Differential geometry (53-XX) 41 Manifolds and cell complexes (57-XX) 26 Global analysis, analysis on manifolds (58-XX) 13 Topological groups, Lie groups (22-XX) 13 Algebraic topology (55-XX) 7 Partial differential equations (35-XX) 5 Relativity and gravitational theory (83-XX) 4 \(K\)-theory (19-XX) 4 Functions of a complex variable (30-XX) 4 Quantum theory (81-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year