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 an introductory Course

This note covers curves and surfaces in the plane and in space, Riemannian manifolds, Connections, Geodesics, The second fundamental form.

Author(s): E P Van Den Ban and E Looijenga

42 Pages

An Introduction to Riemannian Geometry with Applications to Mechanics and Relativity

This book covers the following topics: Differentiable Manifolds, Differential Forms, Riemannian Manifolds, Curvature, Geometric Mechanics, Relativity.

Author(s): Leonor Godinho and Jose Natario

272 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