Convex defining functions for convex domains

Details Convex defining functions for convex domains Convex defining functions for convex domains

2009-12-23

arxiv.org/abs/0912.4653v2

J. Geom. Anal. 22 (2012), no. 2, 433--454

Mathematics

Complex Variables

21 pages

Scientific paper

We give three proofs of the fact that a smoothly bounded, convex domain in
R^n has smooth defining functions whose Hessians are non-negative definite in a
neighborhood of the boundary of the domain.

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