The purpose of this book is to introduce the reader to two interesting topics in geometry which have developed over the last fifteen years, namely, total mean curvature and submanifolds of finite type. The theory of total mean curvature is the study of the integral of the n-th power of the mean curvature of a compact n-dimensional submanifold in a Euclidean m-space and its applications to other branches of mathematics. The relation of total mean curvature to analysis, geometry and topology are discussed in detail. Motivated from these studies, the author introduces and studies submanifolds of...
The purpose of this book is to introduce the reader to two interesting topics in geometry which have developed over the last fifteen years, namely, to...
This set of selected papers of Klingenberg covers some of the important mathematical aspects of Riemannian geometry, closed geodesics, geometric algebra, classical differential geometry and foundations of the geometry of Klingenberg.
This set of selected papers of Klingenberg covers some of the important mathematical aspects of Riemannian geometry, closed geodesics, geometric algeb...
Essentials of the integral geometry in a homogenous space are presented and the focus is on the basic results and applications. This book provides the readers with new findings, some being published for the first time.
Essentials of the integral geometry in a homogenous space are presented and the focus is on the basic results and applications. This book provides the...
A collection of articles and review papers by the author on various subjects in quantum field theory, gauge field theory and quantum gravity. The book includes a description of fundamental extended objects such as monopoles and instantons, both aspects of quantum chromodynamics.
A collection of articles and review papers by the author on various subjects in quantum field theory, gauge field theory and quantum gravity. The book...
