A rigidity problem on the round sphere
Analysis of PDEs
2016-10-31 v1 Differential Geometry
Abstract
We consider a class of overdetermined problems in rotationally symmetric spaces, which reduce to the classical Serrin's overdetermined problem in the case of the Euclidean space. We prove some general integral identities for rotationally symmetric spaces which imply a rigidity result in the case of the round sphere.
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Cite
@article{arxiv.1512.07749,
title = {A rigidity problem on the round sphere},
author = {Giulio Ciraolo and Luigi Vezzoni},
journal= {arXiv preprint arXiv:1512.07749},
year = {2016}
}
Comments
9 pages