"Convex" characterization of linearly convex domains
classification
🧮 math.CV
keywords
convexlinearlyboundedcentercharacterizationcommondiscsdomain
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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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