논문KCI 등재
Annular capillary surface with vertices in a triangular cone in $\mathbb R^{3}$
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In this paper, we show that a compact embedded annular constant mean curvature surface $S$ in a triangular cone $C\subset\mathbb R^3$ meeting each face of $C$ in a constant contact angle, having two vertices (singular points of $\partial S$) and that is symmetric about a plane $V$ for which $S\setminus V$ are graphs over $V$ is part of a sphere.
Abstract
In this paper, we show that a compact embedded annular constant mean curvature surface $S$ in a triangular cone $C\subset\mathbb R^3$ meeting each face of $C$ in a constant contact angle, having two vertices (singular points of $\partial S$) and that is symmetric about a plane $V$ for which $S\setminus V$ are graphs over $V$ is part of a sphere.
관련 논문AI추천
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