Complex Non-K?hler Geometry, S?awomir Dinew; Sebastien Picard; Andrei Teleman;

Автор: Chriss, Neil Ginzburg, Victor
Название: Representation theory and complex geometry
ISBN: 0817649379 ISBN-13(EAN): 9780817649371
Издательство: Springer
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Описание: "The book is largely self-contained...There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory. This is the only available introduction to geometric representation theory...it has already proved successful in introducing a new generation to the subject."

Автор: J?rgen Jost
Название: Nonlinear Methods in Riemannian and K?hlerian Geometry
ISBN: 3034877080 ISBN-13(EAN): 9783034877084
Издательство: Springer
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Описание: Let us Iist some of the most important ones: - harmonic maps between Riemannian and Kahlerian manifolds - minimal surfaces in Riemannian manifolds - Monge-Ampere equations on Kahler manifolds - Yang-Mills equations in vector bundles over manifolds.

Автор: Daniele Angella
Название: Cohomological Aspects in Complex Non-K?hler Geometry
ISBN: 331902440X ISBN-13(EAN): 9783319024400
Издательство: Springer
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Описание: In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kahler structure.On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kahler manifolds.

Автор: Andrea Loi; Michela Zedda
Название: K?hler Immersions of K?hler Manifolds into Complex Space Forms
ISBN: 3319994824 ISBN-13(EAN): 9783319994826
Издательство: Springer
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Описание: The aim of this book is to describe Calabi's original work on K?hler immersions of K?hler manifolds into complex space forms, to provide a detailed account of what is known today on the subject and to point out some open problems. Calabi's pioneering work, making use of the powerful tool of the diastasis function, allowed him to obtain necessary and sufficient conditions for a neighbourhood of a point to be locally K?hler immersed into a finite or infinite-dimensional complex space form. This led to a classification of (finite-dimensional) complex space forms admitting a K?hler immersion into another, and to decades of further research on the subject. Each chapter begins with a brief summary of the topics to be discussed and ends with a list of exercises designed to test the reader's understanding. Apart from the section on K?hler immersions of homogeneous bounded domains into the infinite complex projective space, which could be skipped without compromising the understanding of the rest of the book, the prerequisites to read this book are a basic knowledge of complex and K?hler geometry.

Автор: Swanhild Bernstein; Uwe K?hler; Irene Sabadini; Fr
Название: Hypercomplex Analysis: New Perspectives and Applications
ISBN: 3319087703 ISBN-13(EAN): 9783319087702
Издательство: Springer
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Описание: Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function.

Автор: Lars Sch?fer
Название: Nearly Pseudo-K?hler Manifolds and Related Special Holonomies
ISBN: 3319658069 ISBN-13(EAN): 9783319658063
Издательство: Springer
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Описание: Developing and providing an overview of recent results on nearly Kahler geometry on pseudo-Riemannian manifolds, this monograph emphasizes the differences with the classical Riemannian geometry setting.

Автор: T.-P. Liu; Heinrich Freist?hler; G. Metivier; Ande
Название: Advances in the Theory of Shock Waves
ISBN: 1461266556 ISBN-13(EAN): 9781461266556
Издательство: Springer
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Описание: In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems.

Автор: Heinrich Freist?hler; Gerald Warnecke
Название: Hyperbolic Problems: Theory, Numerics, Applications
ISBN: 3034895380 ISBN-13(EAN): 9783034895385
Издательство: Springer
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Автор: Akito Futaki
Название: K?hler-Einstein Metrics and Integral Invariants
ISBN: 3540192506 ISBN-13(EAN): 9783540192503
Издательство: Springer
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Описание: A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Kahler-Einstein metric.

Автор: Edward J. Flaherty
Название: Hermitian and K?hlerian Geometry in Relativity
ISBN: 3540075402 ISBN-13(EAN): 9783540075400
Издательство: Springer
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Автор: Heinrich Freist?hler; Gerald Warnecke
Название: Hyperbolic Problems: Theory, Numerics, Applications
ISBN: 3034895372 ISBN-13(EAN): 9783034895378
Издательство: Springer
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Описание: Numerically oriented articles study finite difference, finite volume, and finite ele- ment schemes, adaptive, multiresolution, and artificial dissipation methods.

Автор: Swanhild Bernstein; Uwe K?hler; Irene Sabadini; Fr
Название: Modern Trends in Hypercomplex Analysis
ISBN: 3319425285 ISBN-13(EAN): 9783319425283
Издательство: Springer
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Описание: This book contains a selection of papers presented at the session 'Quaternionic and Clifford Analysis' at the 10th ISAAC Congress held in Macau in August 2015. The covered topics represent the state-of-the-art as well as new trends in hypercomplex analysis and its applications.