A Flag Representation for a n-Dimensional Convex Body.

Autor: Aramyan, Rafik
Zdroj: Journal of Geometric Analysis; Jul2019, Vol. 29 Issue 3, p2998-3009, 12p
Abstrakt: The cosine representation of the support function of a centrally symmetric convex body plays a fundamental role in integral geometry. In this article, one new so-called flag representation for the support function of an origin symmetric n-dimensional convex body in terms of surface curvature functions of the convex body is found. Using the representation, we propose a sufficient condition for an origin symmetric n-dimensional convex body to be a zonoid. The condition has a local equatorial description. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
Externí odkaz: