CR-geometry and overdetermined systems
Author(s)
Bibliographic Information
CR-geometry and overdetermined systems
（Advanced studies in pure mathematics, 25）
Published for the Mathematical Society of Japan by Kinokuniya, c1997
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Note
Includes bibliographical references
"Conference of the same title held at Osaka, Japan, from December 19 to 21, 1994, on the occasion of Kuranishi's 70th birthday" -- Pref
Description and Table of Contents
Description
This volume consists of survey articles and research papers on the most recent developments of CR-geometry and overdetermined systems. Some of the papers are based on the lectures delivered at a conference of the same title. The volume contains notes from three lectures on the invariant theory of the Bergman kernel, and on the deformation of CR structures with applications. Other papers, original or expository, are recent contributions on important problems in complex geometry of differential geometric aspects of analysis, and many of them are related to CR-geometry. This volume offers timely and useful information on the subject area.
Table of Contents
Deformation theory of CR-structures and its application to deformations of isolated singularities I by T. Akahori Deformation theory for the hyperplane line bundle on $P^1$ by J. Bland and T. Duchamp Aspects of prescribing Ricci curvature by D. DeTurck and H. Goldschmidt Deformations of singularities, complex manifolds and CR-structures by C. L. Epstein Vector-valued forms and CR geometry by T. Garrity and R. Mizner The infinitesimal spectral rigidity of the real Grassmannians of rank two by H. Gasqui and H. Goldschmidt On deformations of self-dual vector bundles over quaternionic manifolds by J. F. Glazebrook and D. Sundararaman A method of prolongation of tangential Cauchy-Riemann equations by C.-K. Han and J.-N. Yoo Invariant theory of the Bergman kernel by K. Hirachi and G. Komatsu Spaces of Cauchy-Riemann manifolds by L. Lempert Some remarks on compact strongly pseudoconvex CR manifolds by H. S. Luk and S. S. T. Yau Deformation theory of CR-structures and its application to deformations of isolated singularities II by K. Miyajima A report on isolated singularities by transcendental methods by T. Ohsawa The fusion matrix and the Verlinde loop operators in conformal field theory by D. H. Phong and R. Silvotti On the rigidity of differential systems modelled on Hermitian symmetric spaces and disproofs of a conjecture concerning modular interpretations of configuration spaces by T. Sasaki, K. Yamaguchi, and M. Yoshida Infinitesimal CR automorphisms by N. K. Stanton Lie-Drach-Vessiot theory--Infinite dimensional differential Galois theory by H. Umemura Prolongation projection commutativity theorem by J. M. Veloso A complex Frobenius problem by S. M. Webster.
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