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Real Hypersurfaces in Hermitian Symmetric Spaces, Jurgen Berndt, Young Jin Suh


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Автор: Jurgen Berndt, Young Jin Suh
Название:  Real Hypersurfaces in Hermitian Symmetric Spaces
ISBN: 9783110689914
Издательство: Walter de Gruyter
Классификация: ISBN-10: 311068991X
Обложка/Формат: Digital (delivered electronically)
Страницы: 388
Вес: 0.00 кг.
Дата издания: 21.03.2022
Серия: Mathematics
Язык: English
Читательская аудитория: Professional and scholarly
Ключевые слова: Geometry, MATHEMATICS / Geometry / General
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Поставляется из: Германии
Описание:

Hermitian symmetric spaces are an important class of manifolds that can be studied with methods from Kahler geometry and Lie theory. This work gives an introduction to Hermitian symmetric spaces and their submanifolds, and presents classifi cation results for real hypersurfaces in these spaces, focusing on results obtained by Jurgen Berndt and Young Jin Suh in the last 20 years.




Real Hypersurfaces in Hermitian Symmetric Spaces

Автор: Berndt Jin Suh Jьrgen Young
Название: Real Hypersurfaces in Hermitian Symmetric Spaces
ISBN: 3110689782 ISBN-13(EAN): 9783110689785
Издательство: Walter de Gruyter
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Цена: 50233.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

The series is devoted to the publication of high-level monographs and specialized graduate texts which cover classical and modern analysis, partial differential equations with natural connections to geometry and the interplays between these fields and their applications to mathematical physics.

Editor-in-Chief
Jie Xiao, Memorial University, Canada

Editorial Board
Der-Chen Chang, Georgetown University, USA
Goong Chen, Texas A&M University, USA
Andrea Colesanti, University of Florence, Italy
Robert McCann, University of Toronto, Canada
De-Qi Zhang, National University of Singapore, Singapore
Kehe Zhu, University at Albany, USA

Please send any book proposals to Jie Xiao.

Several Complex Variables and the Geometry of Real Hypersurfaces

Автор: D`Angelo, John P.
Название: Several Complex Variables and the Geometry of Real Hypersurfaces
ISBN: 0367402483 ISBN-13(EAN): 9780367402488
Издательство: Taylor&Francis
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Цена: 9798.00 р.
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Описание: The book focuses on describing the geometry of a real hypersurface in a complex vector space by understanding its relationship with ambient complex analytic varieties. Several Complex Variables and the Geometry of Real Hypersurfaces will be a useful text for advanced graduate students and professionals working in complex analysis.

Hadamard States from Light-like Hypersurfaces

Автор: Claudio Dappiaggi; Valter Moretti; Nicola Pinamont
Название: Hadamard States from Light-like Hypersurfaces
ISBN: 3319643428 ISBN-13(EAN): 9783319643427
Издательство: Springer
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Цена: 7685.00 р.
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Описание: This book provides a rather self-contained survey of the construction of Hadamard states for scalar field theories in a large class of notable spacetimes, possessing a (conformal) light-like boundary.

Geometry of Hypersurfaces

Автор: Cecil Thomas E.
Название: Geometry of Hypersurfaces
ISBN: 1493932454 ISBN-13(EAN): 9781493932450
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space forms.

Regular Extensions of Hermitian Operators

Название: Regular Extensions of Hermitian Operators
ISBN: 3112313992 ISBN-13(EAN): 9783112313992
Издательство: Walter de Gruyter
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Цена: 20446.00 р.
Наличие на складе: Нет в наличии.

Birational Geometry of Hypersurfaces

Автор: Andreas Hochenegger; Manfred Lehn; Paolo Stellari
Название: Birational Geometry of Hypersurfaces
ISBN: 3030186377 ISBN-13(EAN): 9783030186371
Издательство: Springer
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Цена: 12577.00 р.
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Описание: Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number of open questions, techniques and spectacular results. The aim of the school was to shed light on this vast area of research by concentrating on two main aspects: (1) Approaches focusing on (stable) rationality using deformation theory and Chow-theoretic tools like decomposition of the diagonal; (2) The connection between K3 surfaces, hyperk?hler geometry and cubic fourfolds, which has both a Hodge-theoretic and a homological side. Featuring the beautiful lectures given at the school by Jean-Louis Colliot-Th?l?ne, Daniel Huybrechts, Emanuele Macr?, and Claire Voisin, the volume also includes additional notes by J?nos Koll?r and an appendix by Andreas Hochenegger.

Geometry of Hypersurfaces

Автор: Thomas E. Cecil; Patrick J. Ryan
Название: Geometry of Hypersurfaces
ISBN: 1493945076 ISBN-13(EAN): 9781493945078
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space forms.

Degree Theory of Immersed Hypersurfaces

Автор: Graham Smith, Harold Rosenberg
Название: Degree Theory of Immersed Hypersurfaces
ISBN: 1470441853 ISBN-13(EAN): 9781470441852
Издательство: Mare Nostrum (Eurospan)
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Цена: 10659.00 р.
Наличие на складе: Нет в наличии.

Описание: The authors develop a degree theory for compact immersed hypersurfaces of prescribed $K$-curvature immersed in a compact, orientable Riemannian manifold, where $K$ is any elliptic curvature function. They apply this theory to count the (algebraic) number of immersed hyperspheres in various cases: where $K$ is mean curvature, extrinsic curvature and special Lagrangian curvature and show that in all these cases, this number is equal to $-\chi(M)$, where $\chi(M)$ is the Euler characteristic of the ambient manifold $M$.

Global Affine Differential Geometry of Hypersurfaces

Автор: An-Min Li, Udo Simon, Guosong Zhao, Zejun Hu
Название: Global Affine Differential Geometry of Hypersurfaces
ISBN: 3110266679 ISBN-13(EAN): 9783110266672
Издательство: Walter de Gruyter
Цена: 22305.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book draws a colorful and widespread picture of global affine hypersurface theory up to the most recent state. Moreover, the recent development revealed that affine differential geometry – as differential geometry in general – has an exciting intersection area with other fields of interest, like partial differential equations, global analysis, convex geometry and Riemann surfaces.The second edition of this monograph leads the reader from introductory concepts to recent research. Since the publication of the first edition in 1993 there appeared important new contributions, like the solutions of two different affine Bernstein conjectures, due to Chern and Calabi, respectively. Moreover, a large subclass of hyperbolic affine spheres were classified in recent years, namely the locally strongly convex Blaschke hypersurfaces that have parallel cubic form with respect to the Levi-Civita connection of the Blaschke metric. The authors of this book present such results and new methods of proof.

Notes on the Witt Classification of Hermitian Innerproduct Spaces over a Ring of Algebraic Integers

Автор: P. E. Jr. Conner
Название: Notes on the Witt Classification of Hermitian Innerproduct Spaces over a Ring of Algebraic Integers
ISBN: 0292740670 ISBN-13(EAN): 9780292740679
Издательство: Marston Book Services
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Цена: 3958.00 р.
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Описание: These lectures are intended to give mathematicians at the graduate level and beyond some powerful algebraic and number theoretical tools for formulating and solving certain types of classification problems in topology.

Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles Over Arithmetic Curves

Автор: Bost Jean-Benoоt
Название: Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles Over Arithmetic Curves
ISBN: 3030443280 ISBN-13(EAN): 9783030443283
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves.


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