Metric foliations and curvature

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 repr...

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Bibliografiske detaljer
Auteurs principaux: Gromoll, Detlef, 1938-2008, mathématicien, Walschap, Gerard, 1954- (Auteur)
Format: Livre numérique
Sprog:Anglais
Udgivet: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Udgivelse:1st ed. 2009.
Serier:Progress in Mathematics 268
Fag:
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Kommentar: L'impression du document génère 184 p.
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Metric foliations and curvature, Detlef Gromoll, Gerard Walschap, 2009, Basel, Birkhäuser, 1 vol. (VIII-174 p.), Progress in mathematics, 978-3-7643-8714-3
• Metric Foliations and Curvature, Texte imprimé, 9783764398057
Beskrivelse
Summary: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
Emne beskrivelse:L'impression du document génère 184 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783764387150 (e-ISBN)
ISSN:2296-505X
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