Abbas Bahri

(Author)

Flow Lines and Algebraic Invariants in Contact Form Geometry (2003)Hardcover - 2003, 23 September 2003

Flow Lines and Algebraic Invariants in Contact Form Geometry (2003)
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Part of Series
Progress in Nonlinear Differential Equations and Their Appli
Part of Series
Progress in Nonlinear Differential Equations and Their Applications
Print Length
225 pages
Language
English
Publisher
Birkhauser
Date Published
23 Sep 2003
ISBN-10
0817643184
ISBN-13
9780817643188

Description

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. 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.

Product Details

Author:
Abbas Bahri
Book Edition:
2003
Book Format:
Hardcover
Country of Origin:
US
Date Published:
23 September 2003
Dimensions:
24.54 x 15.49 x 2.03 cm
ISBN-10:
0817643184
ISBN-13:
9780817643188
Language:
English
Location:
Boston, MA
Pages:
225
Publisher:
Weight:
544.31 gm

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