Universitext

1 total work

Riemannian Geometry

by Sylvestre Gallot, Dominique Hulin, and Jacques Lafontaine

Published 20 August 1987

This book covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features of the subject. It treats in detail classical results on the relations between curvature and topology. The book features numerous exercises with full solutions and a series of detailed examples are picked up repeatedly to illustrate each new definition or property introduced.