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Potato kugel

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Abstract

LetP 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 thatP is a ball. The same conclusion is also obtained under substantially weakened hypotheses.

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Authors and Affiliations

  1. Technion — Israel Institute of Technology, Haifa, Israel

    Dov Aharonov, M. M. Schiffer & Lawrence Zalcman

  2. Stanford University, 94305, Stanford, CA, USA

    Dov Aharonov, M. M. Schiffer & Lawrence Zalcman

  3. University of Maryland, 20742, College Park, MD, USA

    Dov Aharonov, M. M. Schiffer & Lawrence Zalcman

Authors
  1. Dov Aharonov
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  2. M. M. Schiffer
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  3. Lawrence Zalcman
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Aharonov, D., Schiffer, M.M. & Zalcman, L. Potato kugel. Israel J. Math. 40, 331–339 (1981). https://doi.org/10.1007/BF02761373

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  • DOI: https://doi.org/10.1007/BF02761373

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