Lectures on Geodesics in Riemannian Geometry

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.