Analysis And Geometry In Foliated Manifolds - Proceedings Of The 7th International Colloquium On Differential Geometry PDF Download
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Author: Enrique Macias-virgos Publisher: World Scientific ISBN: 9814549614 Category : Languages : en Pages : 258
Book Description
The subject of this volume, recent developments in foliation theory and important related analytic and geometric techniques, is an active field in the application of both global analysis and geometric topological theory of manifolds to the study of foliations. This volume includes research papers by leading specialists, giving an overview of this subject.
Author: Enrique Macias-virgos Publisher: World Scientific ISBN: 9814549614 Category : Languages : en Pages : 258
Book Description
The subject of this volume, recent developments in foliation theory and important related analytic and geometric techniques, is an active field in the application of both global analysis and geometric topological theory of manifolds to the study of foliations. This volume includes research papers by leading specialists, giving an overview of this subject.
Author: Lawrence Conlon Publisher: World Scientific ISBN: 9814489700 Category : Languages : en Pages : 462
Book Description
This volume contains surveys and research articles regarding different aspects of the theory of foliation. The main aspects concern the topology of foliations of low-dimensional manifolds, the geometry of foliated Riemannian manifolds and the dynamical properties of foliations. Among the surveys are lecture notes devoted to the analysis of some operator algebras on foliated manifolds and the theory of confoliations (objects defined recently by W Thurston and Y Eliashberg, situated between foliations and contact structures). Among the research articles one can find a detailed proof of an unpublished theorem (due to Duminy) concerning ends of leaves in exceptional minimal sets.
Author: Toshikazu Sunada Publisher: Springer ISBN: 3540459308 Category : Mathematics Languages : en Pages : 290
Book Description
The Taniguchi Symposium on global analysis on manifolds focused mainly on the relationships between some geometric structures of manifolds and analysis, especially spectral analysis on noncompact manifolds. Included in the present volume are expanded versions of most of the invited lectures. In these original research articles, the reader will find up-to date accounts of the subject.
Author: Jesus A Alvarez Lopez Publisher: World Scientific ISBN: 9814556874 Category : Mathematics Languages : en Pages : 276
Book Description
This volume is a compilation of new results and surveys on the current state of some aspects of the foliation theory presented during the conference “FOLIATIONS 2012”. It contains recent materials on foliation theory which is related to differential geometry, the theory of dynamical systems and differential topology. Both the original research and survey articles found in here should inspire students and researchers interested in foliation theory and the related fields to plan his/her further research.
Author: Jerry L. Kazdan Publisher: American Mathematical Soc. ISBN: 9780821889022 Category : Mathematics Languages : en Pages : 68
Book Description
These notes were the basis for a series of ten lectures given in January 1984 at Polytechnic Institute of New York under the sponsorship of the Conference Board of the Mathematical Sciences and the National Science Foundation. The lectures were aimed at mathematicians who knew either some differential geometry or partial differential equations, although others could understand the lectures. Author's Summary:Given a Riemannian Manifold $(M,g)$ one can compute the sectional, Ricci, and scalar curvatures. In other special circumstances one also has mean curvatures, holomorphic curvatures, etc. The inverse problem is, given a candidate for some curvature, to determine if there is some metric $g$ with that as its curvature. One may also restrict ones attention to a special class of metrics, such as Kahler or conformal metrics, or those coming from an embedding. These problems lead one to (try to) solve nonlinear partial differential equations. However, there may be topological or analytic obstructions to solving these equations. A discussion of these problems thus requires a balanced understanding between various existence and non-existence results. The intent of this volume is to give an up-to-date survey of these questions, including enough background, so that the current research literature is accessible to mathematicians who are not necessarily experts in PDE or differential geometry. The intended audience is mathematicians and graduate students who know either PDE or differential geometry at roughly the level of an intermediate graduate course.
Author: Philippe Tondeur Publisher: Springer ISBN: Category : Mathematics Languages : en Pages : 268
Book Description
This book introduces the reader to the theory of foliations, and explores some of the interactions of foliations with the Riemannian geometry of the ambient manifold. The author begins with motivations for the study of the subject and proceeds to discuss the instructive special case of transversally oriented foliations of codimension one. The second part of the book covers such topics as foliations by level hypersurfaces, infinitesimal automorphisms and basic forms, flows, Lie foliations, and twisted duality.
Author: Raymond O'Neil Wells Publisher: Springer ISBN: 0387904190 Category : Mathematics Languages : en Pages : 260
Book Description
In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a K??hler manifold, the Hodge decomposition theorem on compact K??hler manifolds, the Hodge-Riemann bilinear relations on K??hler manifolds Griffithsa??s period mapping, quadratic transformations, and Kodairaa??s vanishing and embedding theorems. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of the developments in the field during the decades since the book appeared.
Author: Enrique Macias-virgos
Author: Enrique Macias-virgos
Author: 
Author: Xosé Masa
Author: Lawrence Conlon
Author: Toshikazu Sunada
Author: Jesus A Alvarez Lopez
Author: Jerry L. Kazdan
Author: Philippe Tondeur
Author: Paweł Grzegorz Walczak
Author: Raymond O'Neil Wells