On a conjecture by Auerbach

Fusco N, Pratelli A (2011)

Publication Language: German

Publication Status: Published

Publication Type: Journal article

Publication year: 2011

Journal

Journal of the European Mathematical Society European Mathematical Society

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.

Authors with CRIS profile

Aldo Pratelli Lehrstuhl für Analysis

Involved external institutions

Università degli Studi di Napoli Federico II IT Italy (IT)

How to cite

APA:

Fusco, N., & Pratelli, A. (2011). On a conjecture by Auerbach. Journal of the European Mathematical Society, 13(6), 1633-1676. https://doi.org/10.4171/JEMS/290

MLA:

Fusco, Nicola, und Aldo Pratelli. "On a conjecture by Auerbach." Journal of the European Mathematical Society 13.6 (2011): 1633-1676.

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