**Lectures on Geodesics in Riemannian Geometry**

by M. Berger

**Publisher**: Tata Institute of Fundamental Research 1965**Number of pages**: 317

**Description**:

The main topic of these notes is geodesics. Our aim is 1) to give a fairly complete treatment of the foundations of Riemannian geometry through the tangent bundle and the geodesic flow on it and 2) to give global results for Riemannian manifolds which are subject to geometric conditions of various types; these conditions involve essentially geodesics.

Download or read it online for free here:

**Download link**

(1.5MB, PDF)

## Similar books

**Riemannian Geometry**

by

**Richard L. Bishop**-

**arXiv**

These notes on Riemannian geometry use the bases bundle and frame bundle, as in Geometry of Manifolds, to express the geometric structures. It starts with the definition of Riemannian and semi-Riemannian structures on manifolds.

(

**3336**views)

**Riemannian Geometry**

by

**Ilkka Holopainen, Tuomas Sahlsten**

Based on the lecture notes on differential geometry. From the contents: Differentiable manifolds, a brief review; Riemannian metrics; Connections; Geodesics; Curvature; Jacobi fields; Curvature and topology; Comparison geometry; The sphere theorem.

(

**3319**views)

**A Course in Riemannian Geometry**

by

**David R. Wilkins**-

**Trinity College, Dublin**

From the table of contents: Smooth Manifolds; Tangent Spaces; Affine Connections on Smooth Manifolds; Riemannian Manifolds; Geometry of Surfaces in R3; Geodesics in Riemannian Manifolds; Complete Riemannian Manifolds; Jacobi Fields.

(

**6436**views)

**Lectures on Differential Geometry**

by

**John Douglas Moore**-

**University of California**

Foundations of Riemannian geometry, including geodesics and curvature, as well as connections in vector bundles, and then go on to discuss the relationships between curvature and topology. Topology will presented in two dual contrasting forms.

(

**5991**views)