Ebook: Lectures on Differential Geometry

International Press, 2010. - 418 p.This volume presents lectures given by Richard Schoen and Shing-Tung Yau at the Institute for Advanced Studies at Princeton University in 1984 and 1985. The lectures describe the major advances in differential geometry, which progressed rapidly in the twentieth centuryContents
Preface for the English Translation
Translation of Original Preface
Comparison Theorems and Gradient Estimates
Harmonic Functions on Manifolds with Negative Curvature
Eigenvalue Problems
Heat Kernel on Riemannian Manifolds
Conformal Deformation of Scalar Curvatures
Locally Conformally Flat Manifolds
Problem Section
Nonlinear Analysis in Geometry
Open Problems in Differential Geometry
Bibliography
Index