**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 Submanifolds: A Survey**

by

**Bang-Yen Chen**-

**arXiv**

Submanifold theory is a very active vast research field which plays an important role in the development of modern differential geometry. In this book, the author provides a broad review of Riemannian submanifolds in differential geometry.

(

**2990**views)

**A Panoramic View of Riemannian Geometry**

by

**Marcel Berger**-

**Springer**

In this monumental work, Marcel Berger manages to survey large parts of present day Riemannian geometry. The book offers a great opportunity to get a first impression of some part of Riemannian geometry, together with hints for further reading.

(

**6868**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.

(

**616**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.

(

**3605**views)