Foliations in Cauchy-Riemann Geometry (Mathematical Surveys and Monographs) by Elisabetta Barletta (PDF)

Description

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-Ampére 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 foliation theory in complex analysis and geometry of Cauchy-Riemann manifolds.

User’s Reviews

Keywords

Free Download Foliations in Cauchy-Riemann Geometry (Mathematical Surveys and Monographs) in PDF format
Foliations in Cauchy-Riemann Geometry (Mathematical Surveys and Monographs) PDF Free Download
Download Foliations in Cauchy-Riemann Geometry (Mathematical Surveys and Monographs) 2007 PDF Free
Foliations in Cauchy-Riemann Geometry (Mathematical Surveys and Monographs) 2007 PDF Free Download
Download Foliations in Cauchy-Riemann Geometry (Mathematical Surveys and Monographs) PDF
Free Download Ebook Foliations in Cauchy-Riemann Geometry (Mathematical Surveys and Monographs)