The first two chapters of this frequently cited reference provide background material in Riemannian geometry and the theory of submanifolds. Subsequent chapters explore minimal submanifolds, submanifo
The first part of this book provides a self-contained and accessible introduction to the subject in the general setting of pseudo-Riemannian manifolds and their non-degenerate submanifolds, only assum
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 com
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 com
A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry — except that the x-part is