학술저널
DOMAINS WITH Ck CR CONTRACTIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 1
-
2010.0311 - 27 (17 pages)
- 2
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.
1. Introduction
2. Preliminaries
3. Infinitesimal CR automorphisms
4. Main technical theorem
5. Proof of Theorem 1.1
References
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