CR-geometry and Overdetermined Systems

CR-geometry and Overdetermined Systems PDF Author: Takao Akahori
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 436

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Book Description
This volume consists of survey articles and research papers on the most recent developments of CR-geometry and overdetermined systems. Some of the papers are based on the lectures delivered at a conference of the same title. The volume contains notes from three lectures on the invariant theory of the Bergman kernel, and on the deformation of CR structures with applications. Other papers are recent contributions on important problems in complex geometry of differential geometric aspects of analysis, and many of them are related to CR geometry.

CR-geometry and Overdetermined Systems

CR-geometry and Overdetermined Systems PDF Author: Takao Akahori
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 436

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Book Description
This volume consists of survey articles and research papers on the most recent developments of CR-geometry and overdetermined systems. Some of the papers are based on the lectures delivered at a conference of the same title. The volume contains notes from three lectures on the invariant theory of the Bergman kernel, and on the deformation of CR structures with applications. Other papers are recent contributions on important problems in complex geometry of differential geometric aspects of analysis, and many of them are related to CR geometry.

Symmetries and Overdetermined Systems of Partial Differential Equations

Symmetries and Overdetermined Systems of Partial Differential Equations PDF Author: Michael Eastwood
Publisher: Springer Science & Business Media
ISBN: 0387738312
Category : Mathematics
Languages : en
Pages : 565

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Book Description
This three-week summer program considered the symmetries preserving various natural geometric structures. There are two parts to the proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.

Foliations in Cauchy-Riemann Geometry

Foliations in Cauchy-Riemann Geometry PDF Author: Elisabetta Barletta
Publisher: American Mathematical Soc.
ISBN: 0821843044
Category : Mathematics
Languages : en
Pages : 270

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Book Description
The authors study the relationship between foliation theory and differential geometry and analysis on Cauchy-Riemann (CR) manifolds. The main objects of study are transversally and tangentially CR foliations, Levi foliations of CR manifolds, solutions of the Yang-Mills equations, tangentially Monge-Ampere foliations, the transverse Beltrami equations, and CR orbifolds. The novelty of the authors' approach consists in the overall use of the methods of foliation theory and choice of specific applications. Examples of such applications are Rea's holomorphic extension of Levi foliations, Stanton's holomorphic degeneracy, Boas and Straube's approximately commuting vector fields method for the study of global regularity of Neumann operators and Bergman projections in multi-dimensional complex analysis in several complex variables, as well as various applications to differential geometry. Many open problems proposed in the monograph may attract the mathematical community and lead to further applications of

Analysis and Geometry in Several Complex Variables

Analysis and Geometry in Several Complex Variables PDF Author: Shiferaw Berhanu
Publisher: American Mathematical Soc.
ISBN: 1470422557
Category : Mathematics
Languages : en
Pages : 194

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Book Description
This volume contains the proceedings of the workshop on Analysis and Geometry in Several Complex Variables, held from January 4–8, 2015, at Texas A&M University at Qatar, Doha, Qatar. This volume covers many topics of current interest in several complex variables, CR geometry, and the related area of overdetermined systems of complex vector fields, as well as emerging trends in these areas. Papers feature original research on diverse topics such as the rigidity of CR mappings, normal forms in CR geometry, the d-bar Neumann operator, asymptotic expansion of the Bergman kernel, and hypoellipticity of complex vector fields. Also included are two survey articles on complex Brunn-Minkowski theory and the regularity of systems of complex vector fields and their associated Laplacians.

Differential Geometry and Analysis on CR Manifolds

Differential Geometry and Analysis on CR Manifolds PDF Author: Sorin Dragomir
Publisher: Springer Science & Business Media
ISBN: 0817644830
Category : Mathematics
Languages : en
Pages : 499

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Book Description
Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the first section of the book making it suitable as a graduate main course or seminar textbook Provides unproved statements and comments inspiring further study

An Introduction to CR Structures

An Introduction to CR Structures PDF Author: Howard Jacobowitz
Publisher: American Mathematical Soc.
ISBN: 0821815334
Category : Mathematics
Languages : en
Pages : 249

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Book Description
The geometry and analysis of CR manifolds is the subject of this expository work, which presents all the basic results on this topic, including results from the folklore of the subject.

Geometry of Cauchy-Riemann Submanifolds

Geometry of Cauchy-Riemann Submanifolds PDF Author: Sorin Dragomir
Publisher: Springer
ISBN: 9811009163
Category : Mathematics
Languages : en
Pages : 402

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Book Description
This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds. Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.

Handbook of Geometry and Topology of Singularities VI: Foliations

Handbook of Geometry and Topology of Singularities VI: Foliations PDF Author: Felipe Cano
Publisher: Springer Nature
ISBN: 3031541723
Category :
Languages : en
Pages : 500

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Book Description


The Conformal Structure of Space-Times

The Conformal Structure of Space-Times PDF Author: Jörg Frauendiener
Publisher: Springer Science & Business Media
ISBN: 3540442804
Category : Science
Languages : en
Pages : 382

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Book Description
Causal relations, and with them the underlying null cone or conformal structure, form a basic ingredient in all general analytical studies of asymptotically flat space-time. The present book reviews these aspects from the analytical, geometrical and numerical points of view. Care has been taken to present the material in a way that will also be accessible to postgraduate students and nonspecialist reseachers from related fields.

Lectures on Differential Geometry

Lectures on Differential Geometry PDF Author: Shlomo Sternberg
Publisher: American Mathematical Soc.
ISBN: 0821813854
Category : Mathematics
Languages : en
Pages : 466

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Book Description
This book is based on lectures given at Harvard University during the academic year 1960-1961. The presentation assumes knowledge of the elements of modern algebra (groups, vector spaces, etc.) and point-set topology and some elementary analysis. Rather than giving all the basic information or touching upon every topic in the field, this work treats various selected topics in differential geometry. The author concisely addresses standard material and spreads exercises throughout the text. His reprint has two additions to the original volume: a paper written jointly with V. Guillemin at the beginning of a period of intense interest in the equivalence problem and a short description from the author on results in the field that occurred between the first and the second printings.