Articles liés à Foliations in Cauchy-Riemann Geometry

Foliations in Cauchy-Riemann Geometry - Couverture rigide

American Mathematical Society

 
9780821843048: Foliations in Cauchy-Riemann Geometry
Couverture rigide
ISBN 10 : 0821843044 ISBN 13 : 9780821843048
Editeur : American Mathematical Society, 2007

Synopsis

The authors study the relationship between foliation theory and differential geometry and analysis on Cauchy-Riemann (CR) manifolds. The main objects of study 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 orbifolds. The novelty of the authors' approach consists in the overall use of the methods of foliation theory and choice of specific applications. Examples of such applications are Rea's holomorphic extension of Levi foliations, Stanton's holomorphic degeneracy, Boas and Straube's approximately commuting vector fields method for the study of global regularity of Neumann operators and Bergman projections in multi-dimensional complex analysis in several complex variables, as well as various applications to differential geometry. Many open problems proposed in the monograph may attract the mathematical community and lead to further applications of

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Éditeur
American Mathematical Society
Date d'édition
2007
Langue
anglais
ISBN 10 
0821843044
ISBN 13 
9780821843048
Reliure
Relié
Nombre de pages
256
Coordonnées du fabricant
non disponible
Personne responsable
non disponible