Total Mean Curvature and Submanifolds of Finite Type

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.

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Contents:Differentiable ManifoldsRiemannian and Pseudo-Riemannian ManifoldsHodge Theory and Spectral GeometrySubmanifoldsTotal Mean CurvatureSubmanifolds of Finite TypeBiharmonic Submanifolds and Biharmonic Conjecturesλ-biharmonic and Null 2-type SubmanifoldsApplications of Finite Type TheoryAdditional 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 typeA unique book which gives a detailed account of recent developments of the long-standing biharmonic conjectureHistorical background is provided at the beginning of each chapter