Author: Takao AkahoriPublisher:
ISBN:
Category :
Languages : en
Pages : 257
Book Description
A New Approach to the Local Embedding Theorem of Cr-structures of N 4 (the Local Solvability for the Operator B in the Abstract Sense).
Author: Takao AkahoriA New Approach to the Local Embedding Theorem of CR-structures for N Greater Than Or Equal to 4 (the Local Solvability for the Operator Overbarred Partial B in the Abstract Sense)
Author: Takao AkahoriPublisher:
ISBN:
Category : Complex manifolds
Languages : en
Pages : 257
Book Description
A New Approach to the Local Embedding Theorem of CR-structures for N (is Greater Or Equal Than) 4 (the Local Solvability for the Operator (overbarred Partial) B in the Abstract Sense)
Author: Takao AKAHORIA New Approach to the Local Embedding Theorem of CR-Structures for $n\geq 4$ (The Local Solvability for the Operator $\overline \partial _b$ in the Abstract Sense)
Author: Takao AkahoriPublisher: American Mathematical Soc.
ISBN: 0821824287
Category : Mathematics
Languages : en
Pages : 278
Book Description
Kuranishi proved that any abstract strongly pseudo convex CR-structure of which real dimension [greater than or equal to] nine can be locally embeddable. In this paper, by introducing a new approach, we improve his result. Namely, we obtain that any abstract strongly pseudo convex CR-structure of which real dimension [greater than or equal to] seven can be locally embeddable.
Several Complex Variables and Complex Geometry, Part III
Author: Eric BedfordPublisher: American Mathematical Soc.
ISBN: 0821814915
Category : Mathematics
Languages : en
Pages : 386
Book Description
L2 Approaches in Several Complex Variables
Author: Takeo OhsawaPublisher: Springer
ISBN: 4431568522
Category : Mathematics
Languages : en
Pages : 258
Book Description
This monograph presents the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Special emphasis is put on the new precise results on the L2 extension of holomorphic functions in the past 5 years.In Chapter 1, the classical questions of several complex variables motivating the development of this field are reviewed after necessary preparations from the basic notions of those variables and of complex manifolds such as holomorphic functions, pseudoconvexity, differential forms, and cohomology. In Chapter 2, the L2 method of solving the d-bar equation is presented emphasizing its differential geometric aspect. In Chapter 3, a refinement of the Oka–Cartan theory is given by this method. The L2 extension theorem with an optimal constant is included, obtained recently by Z. Błocki and separately by Q.-A. Guan and X.-Y. Zhou. In Chapter 4, various results on the Bergman kernel are presented, including recent works of Maitani–Yamaguchi, Berndtsson, Guan–Zhou, and Berndtsson–Lempert. Most of these results are obtained by the L2 method. In the last chapter, rather specific results are discussed on the existence and classification of certain holomorphic foliations and Levi flat hypersurfaces as their stables sets. These are also applications of the L2 method obtained during the past 15 years.
Five Decades as a Mathematician and Educator
Author: Yung-Chow WongPublisher: World Scientific
ISBN: 9789810223434
Category : Mathematics
Languages : en
Pages : 634
Book Description
This volume includes topics such as: invariants of strongly pseudoconvex CR manifolds; the integral formulas of the Pontrjagin characteristic forms on an oriented differentiable manifold; the construction of tensor fields and connections on the frame bundle; and cellular manufacturing systems.
From Stein to Weinstein and Back
Author: Kai CieliebakPublisher: American Mathematical Soc.
ISBN: 0821885332
Category : Mathematics
Languages : en
Pages : 379
Book Description
This book is devoted to the interplay between complex and symplectic geometry in affine complex manifolds. Affine complex (a.k.a. Stein) manifolds have canonically built into them symplectic geometry which is responsible for many phenomena in complex geometry and analysis. The goal of the book is the exploration of this symplectic geometry (the road from 'Stein to Weinstein') and its applications in the complex geometric world of Stein manifolds (the road 'back').
Author: 
Author: