Abbas Bahri

(Author)

Flow Lines and Algebraic Invariants in Contact Form Geometry (Softcover Reprint of the Original 1st 2003)Paperback - Softcover Reprint of the Original 1st 2003, 30 October 2012

Flow Lines and Algebraic Invariants in Contact Form Geometry (Softcover Reprint of the Original 1st 2003)
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Part of Series
Progress in Nonlinear Differential Equations and Their Appli
Print Length
225 pages
Language
English
Publisher
Birkhauser
Date Published
30 Oct 2012
ISBN-10
1461265762
ISBN-13
9781461265764

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:
Softcover Reprint of the Original 1st 2003
Book Format:
Paperback
Country of Origin:
NL
Date Published:
30 October 2012
Dimensions:
23.39 x 15.6 x 1.3 cm
ISBN-10:
1461265762
ISBN-13:
9781461265764
Language:
English
Location:
Boston, MA
Pages:
225
Publisher:
Weight:
340.19 gm

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