English

Semi-continuity of Automorphism Groups of Strongly Pseudoconvex Domains: the low differentiability case

Complex Variables 2011-09-15 v1

Abstract

We study the semicontinuity of automorphism groups for perturbations of domains in complex space or in complex manifolds. We provide a new approach to the study of such results for domains having minimal boundary smoothness. The emphasis in this study is on the low differentiability assumption and the new methodology developed accordingly.

Keywords

Cite

@article{arxiv.1109.2989,
  title  = {Semi-continuity of Automorphism Groups of Strongly Pseudoconvex Domains: the low differentiability case},
  author = {Robert E. Greene and Kang-Tae Kim and Steven G. Krantz and AeRyeong Seo},
  journal= {arXiv preprint arXiv:1109.2989},
  year   = {2011}
}

Comments

32 pages