Search

Your search keyword '"34J45, 53D10, 53D35"' showing total 2 results
Start Over Descriptor "34J45, 53D10, 53D35"
2 results on '"34J45, 53D10, 53D35"'

1. The Weinstein conjecture in the presence of submanifolds having a Legendrian foliation

Author

Niederkrüger, Klaus and Rechtman, Ana

Subjects
Mathematics - Dynamical Systems, Mathematics - Symplectic Geometry, 34J45, 53D10, 53D35
Abstract

Helmut Hofer introduced in '93 a novel technique based on holomorphic curves to prove the Weinstein conjecture. Among the cases where these methods apply are all contact 3--manifolds $(M,\xi)$ with $\pi_2(M) \ne 0$. We modify Hofer's argument to prove the Weinstein conjecture for some examples of higher dimensional contact manifolds. In particular, we are able to show that the connected sum with a real projective space always has a closed contractible Reeb orbit., Comment: 11 pages, 2 figures

Published
2011
Full Text
View/download PDF

2. The Weinstein conjecture in the presence of submanifolds having a Legendrian foliation

Author

Ana Rechtman, Klaus Niederkrüger, Institut de Mathématiques de Toulouse UMR5219 (IMT), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), Unité de Mathématiques Pures et Appliquées (UMPA-ENSL), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Lyon (ENS Lyon), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), and École normale supérieure de Lyon (ENS de Lyon)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Pure mathematics, 010102 general mathematics, Holomorphic function, Weinstein conjecture, Dynamical Systems (math.DS), 01 natural sciences, Contractible space, Connected sum, Foliation, [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG], 010104 statistics & probability, 34J45, 53D10, 53D35, Mathematics - Symplectic Geometry, Reeb vector field, FOS: Mathematics, Symplectic Geometry (math.SG), Geometry and Topology, Mathematics - Dynamical Systems, 0101 mathematics, Orbit (control theory), Mathematics::Symplectic Geometry, Analysis, Real projective space, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract

Helmut Hofer introduced in '93 a novel technique based on holomorphic curves to prove the Weinstein conjecture. Among the cases where these methods apply are all contact 3--manifolds $(M,\xi)$ with $\pi_2(M) \ne 0$. We modify Hofer's argument to prove the Weinstein conjecture for some examples of higher dimensional contact manifolds. In particular, we are able to show that the connected sum with a real projective space always has a closed contractible Reeb orbit., Comment: 11 pages, 2 figures

Published
2011
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results