The Wills conjecture

Brannen, Noah

doi:10.1090/S0002-9947-97-01716-9

The Wills conjecture
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by Noah Samuel Brannen PDF

Trans. Amer. Math. Soc. 349 (1997), 3977-3987 Request permission

Abstract:

Two strengthenings of the Wills conjecture, an extension of Bonnesen’s inradius inequality to $n$-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.

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