The Wills conjecture-Reference-Cited by-同舟云学术

The Wills conjecture

Published:1997 Issue:10 Volume:349 Page:3977-3987
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Brannen Noah

Abstract

Two strengthenings of the Wills conjecture, an extension of Bonnesen’s inradius inequality to n n -dimensional space, are obtained. One is the sharpest of the known strengthenings of the conjecture in three dimensions; the other employs techniques which are fundamentally different from those utilized in the other proofs.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1997-349-10/S0002-9947-97-01716-9/S0002-9947-97-01716-9.pdf

Reference16 articles.

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2. Eine verschärfte Ungleichung zwischen Volumen, Oberfläche und Inkugelradius im 𝑅ⁿ;Bokowski, J.;Elem. Math.,1973

3. Integral representations of quermassintegrals and Bonnesen-style inequalities;Bokowski, Jürgen;Arch. Math. (Basel),1986

4. On polynomials with only real roots;Erdös, P.;Ann. of Math. (2),1939

5. T. Bonnesen, Les problèmes des isopérimetres et des isépiphanes, Gauthier-Villars, Paris, 1929.

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