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【转贴】Recent Progress in Conformal Geometry （2007）【已搜无重复】
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Recent Progress in Conformal Geometry Abbas Bahri, Yongzhong Xu, "Recent Progress in Conformal Geometry" Imperial College Press; 1 edition (April 5, 2007) | ISBN:1860947727 | 524 pages | PDF | 3,5 Mb This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems which can be studied: the book lays the foundation for a program of research in this direction. In contact form geometry, a cousin of symplectic geometry, the authors prove a fundamental result of compactness in a variational problem on Legrendrian curves, which allows one to define a homology associated to a contact structure and a vector field of its kernel on a three-dimensional manifold. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the Morse complex of the variational problem built with the periodic orbits of the Reeb vector-field. This book introduces, therefore, a practical tool in the field, and this homology becomes computable. http://rapidshare.com/files/6531 ... formal_Geometry.rar [ Last edited by cuplgz on 2008-1-18 at 14:40 ] |
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