Degree Theory of Immersed Hypersurfaces, Graham Smith, Harold Rosenberg

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.
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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.

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.

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.
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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.

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.

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.