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

Issue

Vol. 111 No. 2 (2012)

Section

Articles

How to Cite

[1]
N. Nikolov and P. J. Thomas, “Convex characterization of linearly convex domains”, Math. Scand., vol. 111, no. 2, pp. 179–186, Dec. 2012, doi: 10.7146/math.scand.a-15223.