Convex characterization of linearly convex domains

Nikolai Nikolov; Pascal J. Thomas

doi:10.7146/math.scand.a-15223

Convex characterization of linearly convex domains

Authors

Nikolai Nikolov
Pascal J. Thomas

DOI:

https://doi.org/10.7146/math.scand.a-15223

Abstract

We prove that a $C^{1,1}$-smooth bounded domain $D$ in $\mathbf{C}^n$ 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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Published

2012-12-01

How to Cite

Nikolov, N., & Thomas, P. J. (2012). Convex characterization of linearly convex domains. MATHEMATICA SCANDINAVICA, 111(2), 179–186. https://doi.org/10.7146/math.scand.a-15223