Description

Book Synopsis
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.

Table of 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; lambda-biharmonic and Null 2-type Submanifolds; Applications of Finite Type Theory; Additional Topics in Finite Type Theory;

Total Mean Curvature And Submanifolds Of Finite

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    A Paperback / softback by Bang-yen Chen

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      View other formats and editions of Total Mean Curvature And Submanifolds Of Finite by Bang-yen Chen

      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: 18/12/2014
      ISBN13: 9789814616690, 978-9814616690
      ISBN10: 9814616699

      Description

      Book Synopsis
      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.

      Table of 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; lambda-biharmonic and Null 2-type Submanifolds; Applications of Finite Type Theory; Additional Topics in Finite Type Theory;

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