Geodesic
Symmetry problems 2
N. S. Hoang1 ; A. G. Ramm1
1 Mathematics Department Kansas State University Manhattan, KS 66506-2602, U.S.A.
Annales Polonici Mathematici, Tome 96 (2009) no. 1, pp. 61-64

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Some symmetry problems are formulated and solved. New simple proofs are given for some symmetry problems studied earlier. One of the results is as follows: if a single-layer potential of a surface, homeomorphic to a sphere, with a constant charge density, is equal to $c/|x|$ for all sufficiently large $|x|$, where $c>0$ is a constant, then the surface is a sphere.
DOI : 10.4064/ap96-1-5
Keywords: symmetry problems formulated solved simple proofs given symmetry problems studied earlier results follows single layer potential surface homeomorphic sphere constant charge density equal sufficiently large where constant surface sphere

N. S. Hoang 1 ; A. G. Ramm 1

1 Mathematics Department Kansas State University Manhattan, KS 66506-2602, U.S.A. 
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N. S. Hoang; A. G. Ramm. Symmetry problems 2. Annales Polonici Mathematici, Tome 96 (2009) no. 1, pp. 61-64. doi: 10.4064/ap96-1-5

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