Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2000; 37(2): 225-243

Printed March 1, 2000

Copyright © The Korean Mathematical Society.

Equivalence problem and complete system of finite order

Chong-Kyu Han

Seoul National University

Abstract

We explain the notion of complete system and how it naturally arises from the equivalence problem of $G$-structures. Then we construct a complete system of 3rd order for the infinitesimal CR automorphisms of CR manifolds of nondegenerate Levi form.

Keywords: CR mapping, prolongation, complete system, equivalence problem , infinitesimal CR automorphism

MSC numbers: 32C16, 32F25, 32F40