Foliations in Cauchy-Riemann Geometry (Mathematical Surveys and Monographs, 140, Band 140) - Hardcover

Inhaltsangabe

In this study of the relationship between foliation theory and differential geometry and analysis on Cauchy-Riemann (CR) manifolds, the main objects are transversally and tangentially CR foliations, Levi foliations of CR manifolds, solutions of the Yang-Mills equations, tangentially Monge-Ampere foliations, the transverse Beltrami equations and CR manifolds. This is a novel, multidisciplinary approach that uses the methods of foliation theory for specific applications. Punctuated by open problems designed to pique the interest of mathematicians, this includes such topics as foliated Lorentz manifolds, holomorphic extensions of Levi foliations, analysis on pseudoconvex domains, CR submanifolds of maximal CR dimension, the Graham-Lee connection, flows, degenerate CR manifolds, and a review of orbifold theory. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)

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