Riemannian Geometry: A Modern Introduction

This corrected and clarified second edition includes a new chapter on the Riemannian geometry of surfaces.

Isaac Chavel is Professor of Mathematics at The City College of the City University of New York. He received his Ph.D. in Mathematics from Yeshiva University under the direction of Professor Harry E. Rauch. He has published in international journals in the areas of differential geometry and partial differential equations, especially the Laplace and heat operators on Riemannian manifolds. His other books include Eigenvalues in Riemannian Geometry, Academic Press, 1984, and Isoperimetric Inequalities: Differential Geometric and Analytic Perspectives, Cambridge U. Press,
2001. He has been teaching at The City College of the City University of New York since 1970, and has been a member of the doctoral program of the City University of New York since
1976. He is a member of the American Mathematical Society.