Geometry Conjecture

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Article #101

#101

From: Brian Sutin
Date: Thu, 05 Nov 1992 00:31

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I need the following result (which may be common knowledge):

Let D be a region of R^3 with a reasonable boundary S and let dS be any
measure on the surface of D.  If

    INT(S){ 1/|x - y| dS(y) } = 1	for all x in D,

then D must be an R^3 ball.

Brian Sutin				sutin@lick.ucsc.edu
Lick Observatory, UCSC			Santa Cruz, CA 95064
    Fred:   "May I rescue you?"
    Ginger: "No, thank you.  I prefer being in distress."

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From: sutin@helios.ucsc.edu (Brian Sutin)
Newsgroups: sci.math.research
Subject: Geometry Conjecture
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Date: 5 Nov 92 00:31:56 GMT
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