A characterization of hemispheres
نویسنده
چکیده
We prove that for constant contact angle γ = 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. © 2005 Elsevier B.V. All rights reserved.
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تاریخ انتشار 2006