Math @ Duke

Publications [#318314] of Ding Ma
Papers Published
 Fridman, BL; Ma, D; Poletsky, EA, Upper semicontinuity of the dimensions of automorphism groups of domains in ℂ^{N},
American Journal of Mathematics, vol. 125 no. 2
(April, 2003),
pp. 289299
(last updated on 2017/12/12)
Abstract: Let ℋ n be the metric space of all bounded domains in ℂ n with the metric equal to the Hausdorff distance between boundaries of domains. We prove that the dimension of the group of automorphisms of domains is an upper semicontinuous function on ℋ n . We also provide theorems and examples regarding the change in topological structure of these groups under small perturbation of a domain ℋ n .


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

