On a conjecture by Auerbach
Fusco N, Pratelli A (2011)
Publication Language: German
Publication Status: Published
Publication Type: Journal article
Publication year: 2011
Journal
Publisher: European Mathematical Society
Book Volume: 13
Pages Range: 1633-1676
Journal Issue: 6
DOI: 10.4171/JEMS/290
Abstract
In 1938 Herman Auerbach published a paper where he showed a deep connection between the solutions of the Ulam problem of floating bodies and a class of sets studied by Zindler, which are the planar sets whose bisecting chords all have the same length. In the same paper he conjectured that among Zindler sets the one with minimal area, as well as with maximal perimeter, is the so-called "Auerbach triangle". We prove this conjecture.
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APA:
Fusco, N., & Pratelli, A. (2011). On a conjecture by Auerbach. Journal of the European Mathematical Society, 13(6), 1633-1676. https://dx.doi.org/10.4171/JEMS/290
MLA:
Fusco, Nicola, and Aldo Pratelli. "On a conjecture by Auerbach." Journal of the European Mathematical Society 13.6 (2011): 1633-1676.
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