Total Mean Curvature and Submanifolds of Finite Type

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Total Mean Curvature and Submanifolds of Finite Type by Bang-Yen Chen, World Scientific Publishing Company
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Author: Bang-Yen Chen ISBN: 9789814616713
Publisher: World Scientific Publishing Company Publication: October 29, 2014
Imprint: WSPC Language: English
Author: Bang-Yen Chen
ISBN: 9789814616713
Publisher: World Scientific Publishing Company
Publication: October 29, 2014
Imprint: WSPC
Language: English

During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds. This unique and expanded second edition comprises a comprehensive account of the latest updates and new results that cover total mean curvature and submanifolds of finite type. The longstanding biharmonic conjecture of the author's and the generalized biharmonic conjectures are also presented in details. This book will be of use to graduate students and researchers in the field of geometry.

Contents:

  • Differentiable Manifolds
  • Riemannian and Pseudo-Riemannian Manifolds
  • Hodge Theory and Spectral Geometry
  • Submanifolds
  • Total Mean Curvature
  • Submanifolds of Finite Type
  • Biharmonic Submanifolds and Biharmonic Conjectures
  • λ-biharmonic and Null 2-type Submanifolds
  • Applications of Finite Type Theory
  • Additional Topics in Finite Type Theory

Readership: Researchers and graduate students in geometry.
Key Features:

  • Provides a comprehensive overview of recent developments on both theories of total mean curvature and of submanifolds of finite type
  • A unique book which gives a detailed account of recent developments of the long-standing biharmonic conjecture
  • Historical background is provided at the beginning of each chapter
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds. This unique and expanded second edition comprises a comprehensive account of the latest updates and new results that cover total mean curvature and submanifolds of finite type. The longstanding biharmonic conjecture of the author's and the generalized biharmonic conjectures are also presented in details. This book will be of use to graduate students and researchers in the field of geometry.

Contents:

Readership: Researchers and graduate students in geometry.
Key Features:

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