**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

**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.

(

**6488**views)

**Lectures notes on compact Riemann surfaces**

by

**Bertrand Eynard**-

**arXiv.org**

An introduction to the geometry of compact Riemann surfaces. Contents: Riemann surfaces; Functions and forms on Riemann surfaces; Abel map, Jacobian and Theta function; Riemann-Roch; Moduli spaces; Eigenvector bundles and solutions of Lax equations.

(

**869**views)

**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.

(

**3934**views)

**Riemann Surfaces, Dynamics and Geometry**

by

**Curtis McMullen**-

**Harvard University**

This course will concern the interaction between: hyperbolic geometry in dimensions 2 and 3, the dynamics of iterated rational maps, and the theory of Riemann surfaces and their deformations. Intended for advanced graduate students.

(

**9643**views)