Flow Lines and Algebraic Invariants in Contact Form Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2003
|
| Schriftenreihe: | Progress in Nonlinear Differential Equations and Their Applications
53 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology). In particular, this work develops a novel algebraic tool in this field: rooted in the concept of critical points at infinity, the new algebraic invariants defined here are useful in the investigation of contact structures and Reeb vector fields. The book opens with a review of prior results and then proceeds through an examination of variational problems, non-Fredholm behavior, true and false critical points at infinity, and topological implications. An increasing convergence with regular and singular Yamabe-type problems is discussed, and the intersection between contact form and Riemannian geometry is emphasized, with a specific focus on a unified approach to non-compactness in both disciplines. Fully detailed, explicit proofs and a number of suggestions for further research are provided throughout. Rich in open problems and written with a global view of several branches of mathematics, this text lays the foundation for new avenues of study in contact form geometry. Graduate students and researchers in geometry, partial differential equations, and related fields will benefit from the book's breadth and unique perspective |
| Beschreibung: | 1 Online-Ressource (IX, 225 p) |
| ISBN: | 9781461200215 9781461265764 |
| DOI: | 10.1007/978-1-4612-0021-5 |
Internformat
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0021-5 |
| format | Electronic eBook |
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| id | DE-604.BV042419409 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781461200215 9781461265764 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854826 |
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| physical | 1 Online-Ressource (IX, 225 p) |
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| publishDate | 2003 |
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| publisher | Birkhäuser Boston |
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| series2 | Progress in Nonlinear Differential Equations and Their Applications |
| spelling | Bahri, Abbas Verfasser aut Flow Lines and Algebraic Invariants in Contact Form Geometry by Abbas Bahri Boston, MA Birkhäuser Boston 2003 1 Online-Ressource (IX, 225 p) txt rdacontent c rdamedia cr rdacarrier Progress in Nonlinear Differential Equations and Their Applications 53 This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology). In particular, this work develops a novel algebraic tool in this field: rooted in the concept of critical points at infinity, the new algebraic invariants defined here are useful in the investigation of contact structures and Reeb vector fields. The book opens with a review of prior results and then proceeds through an examination of variational problems, non-Fredholm behavior, true and false critical points at infinity, and topological implications. An increasing convergence with regular and singular Yamabe-type problems is discussed, and the intersection between contact form and Riemannian geometry is emphasized, with a specific focus on a unified approach to non-compactness in both disciplines. Fully detailed, explicit proofs and a number of suggestions for further research are provided throughout. Rich in open problems and written with a global view of several branches of mathematics, this text lays the foundation for new avenues of study in contact form geometry. Graduate students and researchers in geometry, partial differential equations, and related fields will benefit from the book's breadth and unique perspective Mathematics Differential Equations Differential equations, partial Global differential geometry Algebraic topology Differential Geometry Ordinary Differential Equations Partial Differential Equations Algebraic Topology Mathematik https://doi.org/10.1007/978-1-4612-0021-5 Verlag Volltext |
| spellingShingle | Bahri, Abbas Flow Lines and Algebraic Invariants in Contact Form Geometry Mathematics Differential Equations Differential equations, partial Global differential geometry Algebraic topology Differential Geometry Ordinary Differential Equations Partial Differential Equations Algebraic Topology Mathematik |
| title | Flow Lines and Algebraic Invariants in Contact Form Geometry |
| title_auth | Flow Lines and Algebraic Invariants in Contact Form Geometry |
| title_exact_search | Flow Lines and Algebraic Invariants in Contact Form Geometry |
| title_full | Flow Lines and Algebraic Invariants in Contact Form Geometry by Abbas Bahri |
| title_fullStr | Flow Lines and Algebraic Invariants in Contact Form Geometry by Abbas Bahri |
| title_full_unstemmed | Flow Lines and Algebraic Invariants in Contact Form Geometry by Abbas Bahri |
| title_short | Flow Lines and Algebraic Invariants in Contact Form Geometry |
| title_sort | flow lines and algebraic invariants in contact form geometry |
| topic | Mathematics Differential Equations Differential equations, partial Global differential geometry Algebraic topology Differential Geometry Ordinary Differential Equations Partial Differential Equations Algebraic Topology Mathematik |
| topic_facet | Mathematics Differential Equations Differential equations, partial Global differential geometry Algebraic topology Differential Geometry Ordinary Differential Equations Partial Differential Equations Algebraic Topology Mathematik |
| url | https://doi.org/10.1007/978-1-4612-0021-5 |
| work_keys_str_mv | AT bahriabbas flowlinesandalgebraicinvariantsincontactformgeometry |