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Degree Theory of Immersed Hypersurfaces, Graham Smith, Harold Rosenberg


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Автор: Graham Smith, Harold Rosenberg
Название:  Degree Theory of Immersed Hypersurfaces
ISBN: 9781470441852
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 1470441853
Обложка/Формат: Paperback
Страницы: 62
Вес: 0.33 кг.
Дата издания: 30.01.2021
Серия: Memoirs of the american mathematical society
Язык: English
Размер: 179 x 254 x 16
Ключевые слова: Geometry,Topology
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Поставляется из: Англии
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 $M$.
Дополнительное описание: Geometry|Topology


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: 83850.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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.

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: 334890.00 T
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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.


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: 148700.00 T
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.

Differential Geometry and Tanaka Theory: Differential System and Hypersurface Theory

Автор: Toshihiro Shoda, Kazuhiro Shibuya
Название: Differential Geometry and Tanaka Theory: Differential System and Hypersurface Theory
ISBN: 4864970831 ISBN-13(EAN): 9784864970839
Издательство: Mare Nostrum (Eurospan)
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Цена: 55440.00 T
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Описание: In January 2011 the international conference "Differential Geometry and Tanaka Theory - Differential System and Hypersurface Theory" was held at the Research Institute for Mathematical Sciences, Kyoto University, in honour of Reiko Miyaoka and Keizo Yamaguchi. This volume is dedicated to the two professors.

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: 102480.00 T
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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.

Geometry of Hypersurfaces

Автор: Cecil Thomas E.
Название: Geometry of Hypersurfaces
ISBN: 1493932454 ISBN-13(EAN): 9781493932450
Издательство: Springer
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Цена: 111790.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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.


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