# Download Flow Lines and Algebraic Invariants in Contact Form Geometry fb2

**Abbas Bahri**

- Author:Abbas Bahri
- ISBN:0817643184
- ISBN13:978-0817643188
- Genre:
- Publisher:Birkhäuser; 2003 edition (September 23, 2003)
- Pages:225 pages
- Subcategory:Mathematics
- Language:
- FB2 format1449 kb
- ePUB format1305 kb
- DJVU format1523 kb
- Rating:4.4
- Votes:878
- Formats:mbr rtf txt lrf

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.

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3 In particular, it develops a novel algebraic tool in this field: rooted in th. .

In particular, it 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.

New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the Morse complex of the variational problem built with the periodic orbits of the Reeb vector-field. This book introduces, therefore, a practical tool in the field, and this homology becomes computable.

Flow Lines and Algebraic Invariants in Contact Form Geometry. Infinitely-Precise Space-Time Discretizations of the Equation ut + uux . Trace Formulas and the Canonical 1-Form. On Some "Schwarzian" Equations and their Discrete Analogues. Poisson Brackets for Integrable Lattice Systems.

ISBN13: 9780817643188. More Books . ABOUT CHEGG.

lems in Contact Form and Conformal Geometry, and the ai. along his ﬂow lines, and it has ﬂow lines going to inﬁnity

lems in Contact Form and Conformal Geometry, and the aim. of this short note is to outline some of the milestones of Ab-. bas’ mathematical legacy. along his ﬂow lines, and it has ﬂow lines going to inﬁnity. The description of the is done by mean of curves that lie on a. stratiﬁed space and which are made by pieces of ξand pieces. over-twisted contact forms, against the existence of non-trivial algebraic invariants defined by the periodic orbits of ξ and independent of what ker α and/or α are. View.

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, it 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. Rich in open problems and full, detailed proofs, this work lays the foundation for new avenues of study in contact form geometry and will benefit graduate students and researchers.