riemannian geometry of contact and symplectic manifolds progress in mathematics

Download Book Riemannian Geometry Of Contact And Symplectic Manifolds Progress In Mathematics in PDF format. You can Read Online Riemannian Geometry Of Contact And Symplectic Manifolds Progress In Mathematics here in PDF, EPUB, Mobi or Docx formats.

Riemannian Geometry Of Contact And Symplectic Manifolds

Author : David E. Blair
ISBN : 9781475736045
Genre : Mathematics
File Size : 20. 8 MB
Format : PDF, Mobi
Download : 638
Read : 535

Get This Book


Book endorsed by the Sunyer Prize Committee (A. Weinstein, J. Oesterle et. al.).

Torus Actions On Symplectic Manifolds

Author : Michèle Audin
ISBN : 9783034879606
Genre : Mathematics
File Size : 56. 81 MB
Format : PDF, Docs
Download : 706
Read : 716

Get This Book


The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.

Lectures On The Geometry Of Poisson Manifolds

Author : Izu Vaisman
ISBN : 9783034884952
Genre : Mathematics
File Size : 59. 50 MB
Format : PDF, ePub
Download : 191
Read : 1228

Get This Book



Symplectic Geometry Of Integrable Hamiltonian Systems

Author : Michèle Audin
ISBN : 9783034880718
Genre : Mathematics
File Size : 30. 41 MB
Format : PDF, ePub, Docs
Download : 289
Read : 213

Get This Book


Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. This book serves as an introduction to symplectic and contact geometry for graduate students, exploring the underlying geometry of integrable Hamiltonian systems. Includes exercises designed to complement the expositiont, and up-to-date references.

Recent Progress In Differential Geometry And Its Related Fields

Author : Toshiaki Adachi
ISBN : 9789814355476
Genre : Electronic books
File Size : 73. 77 MB
Format : PDF, Kindle
Download : 238
Read : 254

Get This Book


This volume contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential geometry, information geometry and applications. These contributions from active specialists in differential geometry provide significant information for research which cover geometric structures, concrete Lie group theory and information geometry. This volume is invaluable not only for researchers in this special area but also for those who are interested in interdisciplinary areas in differential geometry, complex analysis, probability theory and mathematical physics. It also serves as a good guide to graduate students in the field of differential geometry.

Harmonic Maps And Differential Geometry

Author : John C. Wood
ISBN : 9780821849873
Genre : Mathematics
File Size : 25. 71 MB
Format : PDF, Kindle
Download : 819
Read : 1317

Get This Book


This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These papers reflect the many facets of the theory of harmonic maps and its links and connections with other topics in Differential and Riemannian Geometry. Two long reports, one on constant mean curvature surfaces by F. Pedit and the other on the construction of harmonic maps by J. C. Wood, open the proceedings. These are followed by a mix of surveys on Prof. Wood's area of expertise: Lagrangian surfaces, biharmonic maps, locally conformally Kahler manifolds and the DDVV conjecture, as well as several research papers on harmonic maps. Other research papers in the volume are devoted to Willmore surfaces, Goldstein-Pedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the Fadeev-Hopf model, the Compact Support Principle and the curvature of surfaces.

The Topology Of Torus Actions On Symplectic Manifolds

Author : Michèle Audin
ISBN : 9783034872218
Genre : Mathematics
File Size : 89. 95 MB
Format : PDF, ePub, Docs
Download : 554
Read : 1322

Get This Book


The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.

Symplectic Geometry

Author : B. Aebischer
ISBN : 9783034875127
Genre : Mathematics
File Size : 28. 26 MB
Format : PDF, Docs
Download : 394
Read : 669

Get This Book


The seminar Symplectic Geometry at the University of Berne in summer 1992 showed that the topic of this book is a very active field, where many different branches of mathematics come tog9ther: differential geometry, topology, partial differential equations, variational calculus, and complex analysis. As usual in such a situation, it may be tedious to collect all the necessary ingredients. The present book is intended to give the nonspecialist a solid introduction to the recent developments in symplectic and contact geometry. Chapter 1 gives a review of the symplectic group Sp(n,R), sympkctic manifolds, and Hamiltonian systems (last but not least to fix the notations). The 1\Iaslov index for closed curves as well as arcs in Sp(n, R) is discussed. This index will be used in chapters 5 and 8. Chapter 2 contains a more detailed account of symplectic manifolds start ing with a proof of the Darboux theorem saying that there are no local in variants in symplectic geometry. The most important examples of symplectic manifolds will be introduced: cotangent spaces and Kahler manifolds. Finally we discuss the theory of coadjoint orbits and the Kostant-Souriau theorem, which are concerned with the question of which homogeneous spaces carry a symplectic structure.

Holomorphic Curves In Symplectic Geometry

Author : Michele Audin
ISBN : 9783034885089
Genre : Mathematics
File Size : 79. 90 MB
Format : PDF
Download : 966
Read : 254

Get This Book



First Steps In Differential Geometry

Author : Andrew McInerney
ISBN : 9781461477327
Genre : Mathematics
File Size : 33. 70 MB
Format : PDF, ePub, Mobi
Download : 514
Read : 570

Get This Book


Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.

Top Download:

Best Books