Isoparametric foliations and the Pompeiu property
A bounded domain $ \Omega $ in a Riemannian manifold $ M $ is said to have the Pompeiu property if the only continuous function which integrates to zero on $ \Omega $ and on all its congruent images is the zero function. In some respects, the Pompeiu property can be viewed as an overdetermined probl...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2023-05-01
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Series: | Mathematics in Engineering |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/mine.202303110.3934/mbe.2022310 |