Weighted floating functions and weighted functional affine surface areas
Metric Geometry
2024-03-06 v1 Differential Geometry
Functional Analysis
Abstract
The purpose of this paper is to introduce the new concept of weighted floating functions associated with log concave or -concave functions. This leads to new notions of weighted functional affine surface areas. Their relation to more traditional versions of functional affine surface areas as well as to the classical affine surface areas for convex bodies is discussed in detail.
Cite
@article{arxiv.2403.02925,
title = {Weighted floating functions and weighted functional affine surface areas},
author = {Carsten Schütt and Christoph Thaele and Nicola Turchi and Elisabeth M. Werner},
journal= {arXiv preprint arXiv:2403.02925},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:1711.11088