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Topics in several complex variables

Author: E Ramírez de Arellano; D Sundararaman; Centro de Investigación y de Estudios Avanzados del I.P.N. Departamento de Matemáticas.
Publisher: Boston : Pitman, 1985.
Series: Research notes in mathematics, 112.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:
This book provides an overview of currently active and rapidly developing areas of several complex variables, differential geometry and group representations. The featured papers are written by experts and researchers and give new insights into the topics they deal with and new results of the relevant theories and problems. Apart from the applications to the traditional area of mathematical physics, applications to  Read more...
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Genre/Form: Santa Cruz (Mexiko, 1983)
Additional Physical Format: Online version:
Topics in several complex variables.
Boston : Pitman, 1985
(OCoLC)622876343
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: E Ramírez de Arellano; D Sundararaman; Centro de Investigación y de Estudios Avanzados del I.P.N. Departamento de Matemáticas.
ISBN: 0273086561 9780273086567
OCLC Number: 10996565
Notes: "The Workshop on Several Complex Variables was held in the Centro Vacacional 'La Trinidad', Santa Cruz, Tlaxcala, Mexico, from August 15 to 19, 1983"--Preface.
"Pitman advanced publishing program."
Sponsored by the Mathematics Dept. of the Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Mexico City.
Description: 189 pages : illustrations ; 25 cm.
Contents: Local geometry of nondegenerate CR structures / M. Kuranishi --
Applications of complex analysis to group representations / H. Rossi --
Vanishing theorem for weakly positive vector bundles / B. Shiffman and J. Sommese --
Real submanifolds of C[superscript n] and their complexifications / S.M. Webster --
A survey of recent CR extension results / Al. Boggess --
Endomorphisms of vector bundles over a compact Riemann surface / L. Brambila --
A generalized criterion for equisingularity / R. Ephraim --
Geodesics, harmonic maps, and the Yang-Mills equations / M.A. Guest --
Deformations of submanifolds and vanishing theorems / M. Kalka --
Computerized tomography and complex analysis / A. Markoe --
Non-isotropic metrics on boundaries of domains of finite type / A. Nagel --
Properties related to directional convexity / M. Porter --
Harmonic maps from surfaces to the complex Grassmann manifolds / J. Ramanathan --
Vector fields on smoothings of complex singularities / J.A. Seade --
On the genus of an irreducible component of the zero set of a holomorphic one-form / M.J. Spurr --
Construction of the normal Cartan connection / D. Sundararaman --
Open Stein subsets and domains of holomorphy in complex spaces / L.M. Tovar.
Series Title: Research notes in mathematics, 112.
Responsibility: E. Ramírez de Arellano & D. Sundararaman, editors.

Abstract:

This book provides an overview of currently active and rapidly developing areas of several complex variables, differential geometry and group representations. The featured papers are written by experts and researchers and give new insights into the topics they deal with and new results of the relevant theories and problems. Apart from the applications to the traditional area of mathematical physics, applications to the new area of computerized tomography are also included.

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