by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg
Name of Publisher, Distributor, etc.
Springer Berlin Heidelberg
Date of Publication, Distribution, etc.
1987
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
(xi, 248 pages)
SERIES
Series Title
Universitext.
CONTENTS NOTE
Text of Note
Differential Manifolds --; Riemannian Metrics --; Curvature --; Analysis on Manifolds and the Ricci Curvature --; Riemannian Submanifolds --; Some Extra Problems --; Solutions of Exercises --; Bibliography --; Index.
SUMMARY OR ABSTRACT
Text of Note
This book, based on a graduate course on Riemannian geometry and analysis on manifolds, held in Paris, covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features of the subject. Classical results on the relations between curvature and topology are treated in detail. The book is quite self-contained, assuming of the reader only differential calculus in Euclidean space. It contains numerous exercises with full solutions and a series of detailed examples which are picked up repeatedly to illustrate each new definition or property introduced.
TOPICAL NAME USED AS SUBJECT
Cell aggregation -- Mathematics.
Global differential geometry.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine.