Riemannian Foliations (Paperback, Softcover reprint of the original 1st ed. 1988)

Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differential equation is defined by a vector field X ; if this vector field has no singularities, then its trajectories form a par tition of M into curves, i.e. a foliation of codimension n - 1. More generally, a foliation F of codimension q on M corresponds to a partition of M into immersed submanifolds [the leaves] of dimension ,--------,- - . - -- p = n - q. The first global image that comes to mind is 1--------;- - - - - - that of a stack of "plaques". 1---------;- - - - - - Viewed laterally [transver 1--------1- - - -- sally], the leaves of such a 1--------1 - - - - -. stacking are the points of a 1--------1--- ----. quotient manifold W of di L..... -' _ mension q. -----~) W M Actually, this image corresponds to an elementary type of folia tion, that one says is "simple". For an arbitrary foliation, it is only l- u L ally [on a "simpIe" open set U] that the foliation appears as a stack of plaques and admits a local quotient manifold. Globally, a leaf L may - - return and cut a simple open set U in several plaques, sometimes even an infinite number of plaques.

General

Imprint:	Birkhauser Boston
Country of origin:	United States
Series:	Progress in Mathematics, 73
Release date:	July 2012
First published:	1988
Authors:	Molino
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Paperback
Pages:	344
Edition:	Softcover reprint of the original 1st ed. 1988
ISBN-13:	978-1-4684-8672-8
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN:	1-4684-8672-1
Barcode:	9781468486728

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