Homothety curvature homogeneity and homothety homogeneity
نویسندگان
چکیده
منابع مشابه
On the Homothety Conjecture ∗
Let K be a convex body in R and δ > 0. The homothety conjecture asks: Does Kδ = cK imply that K is an ellipsoid? Here Kδ is the (convex) floating body and c is a constant depending on δ only. In this paper we prove that the homothety conjecture holds true in the class of the convex bodies B p , 1 ≤ p ≤ ∞, the unit balls of l p ; namely, we show that (B p )δ = cB p if and only if p = 2. We also ...
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ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2015
ISSN: 0232-704X,1572-9060
DOI: 10.1007/s10455-015-9462-4