Metric foliations and curvature

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Riemannian manifolds, particularly those with positive or nonnegative curvature, are constructed from only a handful by means of metric fibrations or deformations thereof. This text documents some of these constructions, many of which have only appeared in journal form.

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Title Statements

Full title :Metric foliations and curvature / Detlef Gromoll, Gerard Walschap.

Summary

Edition Statements

Publication Date:©2009.

Publication Statements

Publisher(s):Birkhäuser
Place of Publication:Basel
Language:eng
Publication Date:©2009.

The Physical Object

Description:1 online resource (viii, 174 pages) : : illustrations

Edition Identifiers

ISBN:9783764387150, 3764387157, 3764387149, 9783764387143, 128206925X, 9781282069251, 9786612069253, 6612069252
DOI:10.1007/978-3-7643-8715-0
oclc:ocn341651739
LC Classification:QA613.62
Dewey Decimal:516.373

Submersions, foliations, and metrics -- Basic constructions and examples -- Open manifolds of nonnegative curvature -- Metric foliations in space forms.

Subjects

courbure Curvature Electronic books Feuilletages (Mathématiques) Foliations (Mathematics) Géométrie différentielle Geometry, Differential Krümmung -- Riemannsche Blätterung MATHEMATICS -- Geometry Riemannian manifolds Riemannsche Blätterung -- Krümmung Variétés de Riemann