Potato kugel

Dov Aharonov; M. M. Schiffer; Lawrence Zalcman

doi:10.1007/bf02761373

Potato kugel

Dov Aharonov, M. M. Schiffer, Lawrence Zalcman

Research output: Contribution to journal › Article › peer-review

30 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 language	English
Pages (from-to)	331-339
Number of pages	9
Journal	Israel Journal of Mathematics
Volume	40
Issue number	3-4
DOIs	https://doi.org/10.1007/bf02761373
State	Published - Sep 1981
Externally published	Yes

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author = "Dov Aharonov and Schiffer, {M. M.} and Lawrence Zalcman",

year = "1981",

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AB - 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.

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Potato kugel

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