ENGLISH

Metric Foliations and Curvature

By Detlef Gromoll , Gerard Walschap (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2009
ISBN
9783764387143, 3764387149, 3764387157, 9783764387150
DOI
10.1007/978-3-7643-8715-0
Language
english
Format
PDF
Filesize
1 MB (1289470 bytes)
Series
Progress in Mathematics 268
Edition
1
Pages
176\185
Time added
2009-08-06 05:14:26
Differential Geometry

Description

In the past three or four decades, there has been increasing realization that metric foliations play a key role in understanding the structure of Riemannian manifolds, particularly those with positive or nonnegative sectional curvature. In fact, all known such spaces are constructed from only a representative handful by means of metric fibrations or deformations thereof. This text is an attempt to document some of these constructions, many of which have only appeared in journal form. The emphasis here is less on the fibration itself and more on how to use it to either construct or understand a metric with curvature of fixed sign on a given space.

Similar books