Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606573 | Differential Geometry and its Applications | 2006 | 5 Pages |
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
Authors
Rafael López,