"Convex" characterization of linearly convex domains

Details "Convex" characterization of linearly convex domains "Convex" characterization of linearly convex domains

2010-09-25

arxiv.org/abs/1009.5022v3

Mathematics

Complex Variables

to appear in Math. Scand.; v3: Appendix is added

Scientific paper

We prove that a $C^{1,1}$-smooth bounded domain $D$ in $\C^n$ is linearly
convex if and only if the convex hull of any two discs in $D$ with common
center lies in $D.$

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