riemannian geometry of contact and symplectic manifolds progress in mathematics

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Riemannian Geometry Of Contact And Symplectic Manifolds

Author : David E. Blair
ISBN : 9781475736045
Genre : Mathematics
File Size : 65. 40 MB
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Book endorsed by the Sunyer Prize Committee (A. Weinstein, J. Oesterle et. al.).

Recent Progress In Differential Geometry And Its Related Fields

Author : Toshiaki Adachi
ISBN : 9789814355476
Genre : Electronic books
File Size : 59. 68 MB
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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.

Differential Geometry

Author : Jesús A. Alvarez López
ISBN : 9789814261173
Genre : Mathematics
File Size : 89. 86 MB
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This volume contains research and expository papers on recent advances in foliations and Riemannian geometry. Some of the topics covered in this volume include: topology, geometry, dynamics and analysis of foliations, curvature, submanifold theory, Lie groups and harmonic maps. Among the contributions, readers may find an extensive survey on characteristic classes of Riemannian foliations offering also new results, an article showing the uniform simplicity of certain diffeomorphism groups, an exposition of convergences of contact structures to foliations from the point of view of Thurston''s and ThurstonOCoBennequin''s inequalities, a discussion about FatouOCoJulia decompositions for foliations and a description of singular Riemannian foliations on spaces without conjugate points. Papers on submanifold theory focus on the existence of graphs with prescribed mean curvature and mean curvature flow for spacelike graphs, isometric and conformal deformations and detailed surveys on totally geodesic submanifolds in symmetric spaces, cohomogeneity one actions on hyperbolic spaces and rigidity of geodesic spheres in space forms. Geometric realizability of curvature tensors and curvature operators are also treated in this volume with special attention to the affine and the pseudo-Riemannian settings. Also, some contributions on biharmonic maps and submanifolds enrich the scope of this volume in providing an overview of different topics of current interest in differential geometry.

Harmonic Maps And Differential Geometry

Author : John C. Wood
ISBN : 9780821849873
Genre : Mathematics
File Size : 20. 40 MB
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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.

Geodesic Flows

Author : Gabriel P. Paternain
ISBN : 9781461216001
Genre : Mathematics
File Size : 60. 80 MB
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The aim of this book is to present the fundamental concepts and properties of the geodesic flow of a closed Riemannian manifold. The topics covered are close to my research interests. An important goal here is to describe properties of the geodesic flow which do not require curvature assumptions. A typical example of such a property and a central result in this work is Mane's formula that relates the topological entropy of the geodesic flow with the exponential growth rate of the average numbers of geodesic arcs between two points in the manifold. The material here can be reasonably covered in a one-semester course. I have in mind an audience with prior exposure to the fundamentals of Riemannian geometry and dynamical systems. I am very grateful for the assistance and criticism of several people in preparing the text. In particular, I wish to thank Leonardo Macarini and Nelson Moller who helped me with the writing of the first two chapters and the figures. Gonzalo Tomaria caught several errors and contributed with helpful suggestions. Pablo Spallanzani wrote solutions to several of the exercises. I have used his solutions to write many of the hints and answers. I also wish to thank the referee for a very careful reading of the manuscript and for a large number of comments with corrections and suggestions for improvement.

Torus Actions On Symplectic Manifolds

Author : Michèle Audin
ISBN : 9783034879606
Genre : Mathematics
File Size : 63. 56 MB
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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.

Zeitschrift F R Analysis Und Ihre Anwendungen

Author :
ISBN : UOM:39015059074966
Genre : Mathematical analysis
File Size : 46. 70 MB
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Lectures On The Geometry Of Poisson Manifolds

Author : Izu Vaisman
ISBN : 9783034884952
Genre : Mathematics
File Size : 90. 88 MB
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Memoirs Of The Scientific Sections Of The Academy Of The Socialist Republic Of Romania

Author :
ISBN : UCBK:C088748470
Genre : Engineering
File Size : 66. 90 MB
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The Topology Of Torus Actions On Symplectic Manifolds

Author : Michèle Audin
ISBN : 9783034872218
Genre : Mathematics
File Size : 50. 88 MB
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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.

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