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Home > Mathematics and Science Textbooks > Mathematics > Geometry > Differential and Riemannian geometry > CR-Geometry and Overdetermined Systems: (Advanced Studies in Pure Mathemstics)
CR-Geometry and Overdetermined Systems: (Advanced Studies in Pure Mathemstics)

CR-Geometry and Overdetermined Systems: (Advanced Studies in Pure Mathemstics)


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About the Book

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 are recent contributions on important problems in complex geometry of differential geometric aspects of analysis, and many of them are related to CR geometry. "Advanced Studies in Pure Mathematics" is published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.

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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Product Details
  • ISBN-13: 9784314101271
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Language: English
  • ISBN-10: 431410127X
  • Publisher Date: 15 Sep 1997
  • Binding: Hardback
  • Series Title: Advanced Studies in Pure Mathemstics


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