Riemannian Geometry - (Second Edition)

Author: Peterson
Publisher:
Publish Date: 2007-01-01
Features: This book introduces important techniques and theorems in Riemannian geometry, catering to students who wish to specialize in the field. It also includes extensive background material on deeper topics. The book presents new research problems and various exercises are scattered throughout to help readers deepen their understanding of the content. It is one of the few monographs that integrate both the geometric and analytical aspects of Riemannian geometry, suitable for readers familiar with manifold theory such as tensors and the Stokes theorem. It can serve as a textbook for a one-year graduate course. The book not only covers the fundamental knowledge of Riemannian geometry but also introduces many deeper directions and their backgrounds, along with numerous new research advancements, facilitating readers' further exploration in the field. Accompanied by exercises, it helps readers enhance their comprehension of the material.