| 书目名称 | Flow Lines and Algebraic Invariants in Contact Form Geometry | | 编辑 | Abbas Bahri | | 视频video | | | 丛书名称 | Progress in Nonlinear Differential Equations and Their Applications | | 图书封面 |  | | 描述 | .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 s | | 出版日期 | Book 2003 | | 关键词 | Algebra; ODEs; PDEs; Riemannian geometry; algebraic invariant; algebraic topology; differential geometry; h | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0021-5 | | isbn_softcover | 978-1-4612-6576-4 | | isbn_ebook | 978-1-4612-0021-5Series ISSN 1421-1750 Series E-ISSN 2374-0280 | | issn_series | 1421-1750 | | copyright | Springer Science+Business Media New York 2003 |
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发表于 2025-3-21 19:57:14
