# zbMATH — the first resource for mathematics

## Vogt, Elmar

Compute Distance To:
 Author ID: vogt.elmar Published as: Vogt, Elmar; Vogt, E. Homepage: http://www.mi.fu-berlin.de/math/groups/top/members/Professoren/vogt.html External Links: MGP · dblp Member of Collective: Bochumer Topologen von Querenburg
 Documents Indexed: 27 Publications since 1967, including 5 Books Reviewing Activity: 57 Reviews
all top 5

#### Co-Authors

 13 single-authored 4 Zieschang, Heiner 3 Coldewey, Hans-Dieter 2 Deiser, Oliver 2 Lasser, Caroline 2 Mitsumatsu, Yoshihiko 2 Singhof, Wilhelm 2 Werner, Dirk 1 Boileau, Michel Charles 1 Druck, Suely 1 Epstein, David Bernard Alper 1 Karowski, Michael 1 Nest, Ryszard 1 Orlik, Peter 1 Schrader, Robert 1 Werner, Wend
all top 5

#### Serials

 3 Manuscripta Mathematica 2 Mathematische Annalen 2 Topology 2 Lecture Notes in Mathematics 1 Archiv der Mathematik 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Results in Mathematics 1 Elemente der Mathematik 1 Experimental Mathematics 1 Annals of Mathematics. Second Series 1 Algebraic & Geometric Topology
all top 5

#### Fields

 21 Manifolds and cell complexes (57-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH Open

18 Publications have been cited 231 times in 192 Documents Cited by Year
Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell. Zbl 0438.57001
Zieschang, Heiner; Vogt, Elmar; Coldewey, Hans-Dieter
1980
Flächen und ebene diskontinuierliche Gruppen. Zbl 0204.24002
Zieschang, Heiner; Vogt, E.; Coldewey, H.-D.
1970
Zur Topologie gefaserter dreidimensionaler Mannigfaltigkeiten. Zbl 0147.23503
Orlik, P.; Vogt, E.; Zieschang, Heiner
1967
A counterexample to the periodic orbit conjecture in codimension 3. Zbl 0418.57013
Epstein, D. B. A.; Vogt, E.
1978
A periodic flow with infinite Epstein hierarchy. Zbl 0364.57006
Vogt, Elmar
1977
Foliations of codimension 2 with all leaves compact on closed 3-, 4-, and 5-manifolds. Zbl 0369.57008
Vogt, Elmar
1977
Foliations of codimension 2 with all leaves compact. Zbl 0316.57014
Vogt, Elmar
1976
Projecting isotopies of sufficiently large $$\mathbb{P}^2$$-irreducible 3- manifolds. Zbl 0404.57012
Vogt, Elmar
1977
Foliations with few non-compact leaves. Zbl 0989.57017
Vogt, Elmar
2002
Stable foliations of 4-manifolds by closed surfaces. I: Local structure and free actions of finite cyclic and dihedral groups on surfaces. Zbl 0268.57012
Vogt, Elmar
1973
A foliation of $${\mathbb{R}}^ 3$$ and other punctured 3-manifolds by circles. Zbl 0688.57016
Vogt, Elmar
1989
Invariants of three-manifolds, unitary representations of the mapping class group, and numerical calculations. Zbl 1115.57300
Karowski, Michael; Schrader, Robert; Vogt, Elmar
1997
Tangential category of foliations. Zbl 1026.55004
Singhof, Wilhelm; Vogt, Elmar
2003
Spectral action and the Connes-Chamsedinne model. Zbl 1042.81106
Nest, Ryszard; Vogt, Elmar; Werner, Wend
2002
Foliations and compact leaves on 4-manifolds. I: Realization and self-intersection of compact leaves. Zbl 1179.57042
Mitsumatsu, Yoshihiko; Vogt, Elmar
2008
Surfaces and planar discontinuous groups. (Poverkhnosti i razryvnye gruppy). Transl. from the English by O. Ya. Viro and N. Yu. Netsvetaev. With an appendix by N. V. Ivanov. Transl. ed. by O. Ya. Viro. (Poverkhnosti i razryvnye gruppy.) Zbl 0701.57001
Zieschang, Heiner; Vogt, Elmar; Coldewey, Hans-Dieter
1988
Bad sets of compact foliations of codimension 2. Zbl 0852.57026
Vogt, Elmar
1994
A vanishing theorem for the Gromov volume of 3-manifolds with an application to circle foliations. Zbl 0994.57022
Boileau, M.; Druck, S.; Vogt, E.
2002
Foliations and compact leaves on 4-manifolds. I: Realization and self-intersection of compact leaves. Zbl 1179.57042
Mitsumatsu, Yoshihiko; Vogt, Elmar
2008
Tangential category of foliations. Zbl 1026.55004
Singhof, Wilhelm; Vogt, Elmar
2003
Foliations with few non-compact leaves. Zbl 0989.57017
Vogt, Elmar
2002
Spectral action and the Connes-Chamsedinne model. Zbl 1042.81106
Nest, Ryszard; Vogt, Elmar; Werner, Wend
2002
A vanishing theorem for the Gromov volume of 3-manifolds with an application to circle foliations. Zbl 0994.57022
Boileau, M.; Druck, S.; Vogt, E.
2002
Invariants of three-manifolds, unitary representations of the mapping class group, and numerical calculations. Zbl 1115.57300
Karowski, Michael; Schrader, Robert; Vogt, Elmar
1997
Bad sets of compact foliations of codimension 2. Zbl 0852.57026
Vogt, Elmar
1994
A foliation of $${\mathbb{R}}^ 3$$ and other punctured 3-manifolds by circles. Zbl 0688.57016
Vogt, Elmar
1989
Surfaces and planar discontinuous groups. (Poverkhnosti i razryvnye gruppy). Transl. from the English by O. Ya. Viro and N. Yu. Netsvetaev. With an appendix by N. V. Ivanov. Transl. ed. by O. Ya. Viro. (Poverkhnosti i razryvnye gruppy.) Zbl 0701.57001
Zieschang, Heiner; Vogt, Elmar; Coldewey, Hans-Dieter
1988
Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell. Zbl 0438.57001
Zieschang, Heiner; Vogt, Elmar; Coldewey, Hans-Dieter
1980
A counterexample to the periodic orbit conjecture in codimension 3. Zbl 0418.57013
Epstein, D. B. A.; Vogt, E.
1978
A periodic flow with infinite Epstein hierarchy. Zbl 0364.57006
Vogt, Elmar
1977
Foliations of codimension 2 with all leaves compact on closed 3-, 4-, and 5-manifolds. Zbl 0369.57008
Vogt, Elmar
1977
Projecting isotopies of sufficiently large $$\mathbb{P}^2$$-irreducible 3- manifolds. Zbl 0404.57012
Vogt, Elmar
1977
Foliations of codimension 2 with all leaves compact. Zbl 0316.57014
Vogt, Elmar
1976
Stable foliations of 4-manifolds by closed surfaces. I: Local structure and free actions of finite cyclic and dihedral groups on surfaces. Zbl 0268.57012
Vogt, Elmar
1973
Flächen und ebene diskontinuierliche Gruppen. Zbl 0204.24002
Zieschang, Heiner; Vogt, E.; Coldewey, H.-D.
1970
Zur Topologie gefaserter dreidimensionaler Mannigfaltigkeiten. Zbl 0147.23503
Orlik, P.; Vogt, E.; Zieschang, Heiner
1967
all top 5

#### Cited by 217 Authors

 15 Zieschang, Heiner 12 Rosenberger, Gerhard 12 Zimmermann, Bruno P. 9 Vogt, Elmar 6 Boileau, Michel Charles 4 Chiswell, Ian M. 4 Huebschmann, Johannes 3 Bartholdi, Laurent 3 Fillastre, François 3 Hillman, Jonathan Arthur 3 Martinez, Ernesto C. 3 Weidmann, Richard 3 Yokoyama, Tomoo 2 Chillingworth, D. R. J. 2 Conant, James 2 Dudko, Dzmitry 2 Estrada, Beatriz 2 Etayo Gordejuela, José Javier 2 Galaz-Garcia, Fernando 2 Georgakopoulos, Agelos 2 Grunewald, Fritz J. 2 Heil, Wolfgang H. 2 Howie, James 2 Hurder, Steven E. 2 Kern-Isberner, Gabriele 2 Meniño Cotón, Carlos 2 Mennicke, Jens L. 2 Mohar, Bojan 2 Núñez-Zimbrón, Jesús 2 Peczynski, Norbert 2 Rechtman, Ana 1 Aaslepp, Kerstin 1 An, Byung Hee 1 Andersen, Jørgen Ellegaard 1 André, Yves 1 Aranson, Samuil Khaĭmovich 1 Bao, Zhiqiang 1 Beliakova, Anna 1 Bene, Alex James 1 Böhme, Harald 1 Bohnet, Doris 1 Bonahon, Francis 1 Bonatti, Christian 1 Bowden, Jonathan Peter 1 Broughton, S. Allen 1 Bucher, Michelle 1 Bujalance, Emilio 1 Burger, Marc 1 Burton, Benjamin A. 1 Ćaćić, Branimir 1 Cairns, Grant 1 Cantat, Serge 1 Cardona, Robert 1 Carrasco, Pablo D. 1 Childers, Leah R. 1 Cima, Anna 1 Collins, Donald J. 1 Colman, Hellen 1 Cristofaro-Gardiner, Daniel 1 De Martino, Verónica 1 DeVos, Matthew 1 Diez, Tobias 1 Doeraene, Jean-Paul 1 Drawe, Michael 1 Durhuus, Bergfinnur 1 Earle, Clifford J. 1 Ebeling, Wolfgang 1 Eckmann, Beno 1 Edmonds, Allan L. 1 Elstrodt, Jürgen 1 Ewing, John Harwood 1 Flapan, Erica 1 Flenner, Hubert 1 Freed, Daniel Stuart 1 Frigerio, Roberto 1 Fuchs, Dmitry Borisovich 1 Gallai, Tibor 1 Gasull, Armengol 1 Gayral, Victor 1 Ginzburg, David 1 Gomez-Larrañaga, C. 1 Gonçalves, Daciberg Lima 1 Gordon, Cameron McA. 1 Gramberg, Edelgard 1 Grant, Mark 1 Grines, Vyacheslav Zigmundovich 1 Guijarro, Luis 1 Guo, Yu 1 Gurevich, Elena Ya. 1 Haas, Andrew 1 Halder, Heinz-Richard 1 Handel, Michael 1 Hanisch, Florian 1 Hayat-Legrand, Claude 1 Hejhal, Dennis A. 1 Helling, Heinz 1 Hoare, A. Howard M. 1 Im, Young Ho 1 Iochum, Bruno 1 Iozzi, Alessandra ...and 117 more Authors
all top 5

#### Cited in 70 Serials

 16 Mathematische Annalen 14 Mathematische Zeitschrift 13 Inventiones Mathematicae 11 Topology and its Applications 10 Archiv der Mathematik 7 Transactions of the American Mathematical Society 6 Manuscripta Mathematica 6 Proceedings of the American Mathematical Society 6 Ergodic Theory and Dynamical Systems 5 Geometriae Dedicata 4 Journal of Pure and Applied Algebra 4 Results in Mathematics 4 Journal of Knot Theory and its Ramifications 4 Algebraic & Geometric Topology 3 Israel Journal of Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Mathematica 3 Duke Mathematical Journal 3 Journal of Soviet Mathematics 3 Siberian Mathematical Journal 2 Communications in Mathematical Physics 2 Mathematical Notes 2 Journal of Geometry and Physics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Advances in Mathematics 2 Glasgow Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Memoirs of the American Mathematical Society 2 Journal of Group Theory 2 Journal of Dynamical and Control Systems 2 Bulletin of the American Mathematical Society 2 Journal of Topology and Analysis 1 Communications in Algebra 1 Discrete Mathematics 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Algebra and Logic 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series B 1 Journal of Differential Equations 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Combinatorica 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Discrete & Computational Geometry 1 Forum Mathematicum 1 Science in China. Series A 1 International Journal of Mathematics 1 International Journal of Algebra and Computation 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Annales Mathématiques Blaise Pascal 1 Geometry & Topology 1 Regular and Chaotic Dynamics 1 Qualitative Theory of Dynamical Systems 1 Advances in Geometry 1 Computational Methods and Function Theory 1 Complex Analysis and Operator Theory 1 Journal of Noncommutative Geometry 1 Quantum Topology 1 Kyoto Journal of Mathematics
all top 5

#### Cited in 25 Fields

 100 Manifolds and cell complexes (57-XX) 71 Group theory and generalizations (20-XX) 24 Dynamical systems and ergodic theory (37-XX) 22 Functions of a complex variable (30-XX) 18 Differential geometry (53-XX) 18 Algebraic topology (55-XX) 15 Combinatorics (05-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Algebraic geometry (14-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Topological groups, Lie groups (22-XX) 7 Convex and discrete geometry (52-XX) 6 Geometry (51-XX) 6 General topology (54-XX) 5 Number theory (11-XX) 4 Quantum theory (81-XX) 3 Category theory; homological algebra (18-XX) 3 Relativity and gravitational theory (83-XX) 2 Nonassociative rings and algebras (17-XX) 2 Ordinary differential equations (34-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX)