DOMAINS WITH Ck CR CONTRACTIONS

• 발행기관: 충청수학회
• 저자명: Sung Yeon Kim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 1, 11~27쪽, 전체 17쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.03.30

영문 초록

Let be a domain with smooth boundary in Cn+1 and let p 2 @ . Suppose that is Kobayashi hyperbolic and p is of Catlin multi-type  = (0, . . . , n). In this paper, we show that admits a Ck contraction at p with k  | | + 1 if and only if is biholomorphically equivalent to a domain defined by a weighted homogeneous polynomial.

목차

1. Introduction

2. Preliminaries

3. Infinitesimal CR automorphisms

4. Main technical theorem

5. Proof of Theorem 1.1

References