Riemannian Geometry by Shiping Liu USTC

Riemannian Geometry by Shiping Liu USTC

This PDF covers the following topics related to Riemannian Geometry : Introduction, Riemannian Metric, Geodesics, Connections, Curvatures, Space forms and Jacobi fields, Comparison Theorem, Candidates for Synthetic Curvature Conditions.

Author(s): Shiping Liu, Department of Mathematics, USTC

218 Pages

Riemannian Geometry University of Chicago

This PDF covers the following topics related to Riemannian Geometry : Smooth manifolds, Some examples, Riemannian metrics, Geodesics, Curvature, Lie groups and homogeneous spaces, Characteristic classes, Hodge theory, Minimal surfaces.

Author(s): Danny Calegari, University of Chicago

54 Pages

Basic Riemannian Geometry

This note covers the following topics: What is a manifold, Analysis on Riemannian manifolds, Geodesics and curvature, The Bishop volume comparison theorem.

Author(s): F.E. Burstall

29 Pages

Riemannian manifolds with geometric structures

The main aim of this book is to get a way of union of various differential geometric structures on Riemannian manifolds in one scheme.

Author(s): Alexander A. Ermolitski

187 Pages