{"product_id":"riemannian-foliations-9781468486728","title":"Riemannian Foliations","description":"\u003cp\u003e • Author(s): Molino\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Geometry - Differential\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eFoliation 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45283109306519,"sku":"9781468486728","price":8814.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781468486728.webp?v=1769304106","url":"https:\/\/atlanticbooks.com\/products\/riemannian-foliations-9781468486728","provider":"Atlantic Books","version":"1.0","type":"link"}