Riemannian Geometry

Frank Morgan is the Atwell Professor of Mathematics at Williams College in Williamstown, Massachusetts.

• Preface 1 Introduction 2 Curves in Rn 3 Surfaces in R3 4 Surfaces in Rn 5 m-Dimensional Surfaces in Rn 6 Intrinsic Riemannian Geometry 7 General Relativity 8 The Gauss-Bonnet Theorem 9 Geodesics and Global Geometry 10 General Norms; Selected Formulas; Solutions to Selected Exercises; Bibliography; Symbol Index; Name Index; Subject Index

… an intuitive approach to Riemannian geometry based on surfaces in n-dimensional Euclidean spaces. … This revision of the second edition includes many interesting exercises and solutions to selected exercises. … The book is warmly recommended to specialists in mathematics, physicists and especially to PhD students interested in this topic.—Jan Kurek, Zentralblatt MATH 1234