Riemannian Geometry and Holonomy Groups

An Introduction to Differentiable Manifolds and Riemannian Geometry

The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge

An introduction to semi-Riemannian geometry as a foundation for general relativity Semi-Riemannian Geometry: The Mathematical Language of General Relativity is

This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. The previous edition already

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

Foreword by S S Chern In 1926–27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensively orthogonal

This book contains contributions by an impressive list of leading mathematicians. The articles include high-level survey and research papers exploring contempor

These lecture notes are based on the joint work of the author and Arthur Fischer on Teichmiiller theory undertaken in the years 1980-1986. Since then many of ou