Download E-books Flow Lines and Algebraic Invariants in Contact Form Geometry PDF

By Abbas Bahri

This textual content incorporates a cautious therapy of stream traces and algebraic invariants involved shape geometry, an unlimited zone of study attached to symplectic box conception, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology). specifically, it develops a singular algebraic software during this box: rooted within the thought of severe issues at infinity, the recent algebraic invariants outlined listed below are important within the research of touch buildings and Reeb vector fields. The ebook opens with a evaluation of earlier effects after which proceeds via an exam of variational difficulties, non-Fredholm habit, actual and fake serious issues at infinity, and topological implications. An expanding convergence with common and singular Yamabe-type difficulties is mentioned, and the intersection among touch shape and Riemannian geometry is emphasised. wealthy in open difficulties and whole, specific proofs, this paintings lays the basis for brand new avenues of analysis in touch shape geometry and should profit graduate scholars and researchers.

Show description

Read Online or Download Flow Lines and Algebraic Invariants in Contact Form Geometry PDF

Best Differential Geometry books

Differential Geometry (Dover Books on Mathematics)

An introductory textbook at the differential geometry of curves and surfaces in third-dimensional Euclidean area, awarded in its easiest, such a lot crucial shape, yet with many explanatory information, figures and examples, and in a fashion that conveys the theoretical and useful significance of the various ideas, equipment and effects concerned.

Variational Problems in Differential Geometry (London Mathematical Society Lecture Note Series, Vol. 394)

The sphere of geometric variational difficulties is fast-moving and influential. those difficulties engage with many different parts of arithmetic and feature powerful relevance to the examine of integrable platforms, mathematical physics and PDEs. The workshop 'Variational difficulties in Differential Geometry' held in 2009 on the collage of Leeds introduced jointly across the world revered researchers from many various parts of the sphere.

Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics)

Dedicated to an incredible and well known department of recent theoretical and mathematical physics, this ebook introduces using Lie algebra and differential geometry how you can research nonlinear integrable structures of Toda kind. Many tough difficulties in theoretical physics are regarding the answer of nonlinear platforms of partial differential equations.

Contact Geometry and Nonlinear Differential Equations (Encyclopedia of Mathematics and its Applications)

Equipment from touch and symplectic geometry can be utilized to unravel hugely non-trivial nonlinear partial and usual differential equations with no resorting to approximate numerical equipment or algebraic computing software program. This ebook explains how it really is performed. It combines the readability and accessibility of a sophisticated textbook with the completeness of an encyclopedia.

Extra info for Flow Lines and Algebraic Invariants in Contact Form Geometry

Show sample text content

Rated 4.03 of 5 – based on 24 votes