Potato kugel

Dov Aharonov, M. M. Schiffer, Lawrence Zalcman

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

Let P be a solid, homogeneous, compact, connected "potato" in space which attracts each point outside it (according to Newton's law) as if all its mass were concentrated at a single point. Answering a question of Lee Rubel, we show that P is a ball. The same conclusion is also obtained under substantially weakened hypotheses.

Original languageEnglish
Pages (from-to)331-339
Number of pages9
JournalIsrael Journal of Mathematics
Volume40
Issue number3-4
DOIs
StatePublished - Sep 1981
Externally publishedYes

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