Article ID Journal Published Year Pages File Type
4606573 Differential Geometry and its Applications 2006 5 Pages PDF
Abstract

We prove that for constant contact angle γ=0γ=0, a capillary surface over a convex domain has no umbilical points unless that the surface is a hemisphere. The method involves the comparison of a lower hemisphere with the given surface at a second-ordered contact point and it is based on an argument of Alexandrov.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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