{"product_id":"riemannian-foliations-molino-9781468486728","title":"Riemannian Foliations","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Molino\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1468486721\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781468486728\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/27\/2012\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 344\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.11lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.75d","brand":"Molino","offers":[{"title":"Paperback","offer_id":44190777409791,"sku":"9781468486728","price":129.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_8264967c-3433-4067-b63c-3cff9f918234.jpg?v=1690872306","url":"https:\/\/www.whiterainbookhouse.com\/products\/riemannian-foliations-molino-9781468486728","provider":"WR Book House","version":"1.0","type":"link"}