By Elisabetta Barletta
The authors learn the connection among foliation concept and differential geometry and research on Cauchy-Riemann (CR) manifolds. the most items of analysis are transversally and tangentially CR foliations, Levi foliations of CR manifolds, ideas of the Yang-Mills equations, tangentially Monge-AmpГѓВ©re foliations, the transverse Beltrami equations, and CR orbifolds. the newness of the authors' process is composed within the total use of the tools of foliation conception and selection of particular purposes. Examples of such purposes are Rea's holomorphic extension of Levi foliations, Stanton's holomorphic degeneracy, Boas and Straube's nearly commuting vector fields procedure for the examine of world regularity of Neumann operators and Bergman projections in multi-dimensional advanced research in different advanced variables, in addition to numerous purposes to differential geometry. Many open difficulties proposed within the monograph may perhaps allure the mathematical group and bring about extra purposes of foliation concept in complicated research and geometry of Cauchy-Riemann manifolds.