Deformations of Strongly Pseudoconvex Domains

Details Deformations of Strongly Pseudoconvex Domains Deformations of Strongly Pseudoconvex Domains

2010-04-21

arxiv.org/abs/1004.3780v1

Mathematics

Complex Variables

Scientific paper

We show that two smoothly bounded, strongly pseudoconvex domains which are
diffeomorphic may be smoothly deformed into each other, with all intermediate
domains being strongly pseudoconvex. This result relates to Lempert's ideas
about Kobayashi extremal discs, and also has intrinsic interest.

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