Total Mean Curvature and Submanifolds of Finite Type.pdf
During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds. And we put in this unique and detailed second edition a comprehensive account of the latest updates and new results that cover total mean curvature, submanifolds of finite type as well as on the long-standing biharmonic conjecture of the author's and the generalized biharmonic conjectures. This book will be of use to graduate students and researchers in the field of geometry.
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;