A Directional Curvature Formula for Convex Bodies in R^n
Metric Geometry
2021-06-01 v1
Abstract
For a compact convex set F in R^n, with the origin in its interior, we present a formula to compute the curvature at a fixed point on its boundary, in the direction of any tangent vector. This formula is equivalent to the existing ones, but it is easier to apply.
Cite
@article{arxiv.2105.14643,
title = {A Directional Curvature Formula for Convex Bodies in R^n},
author = {F. F. Pereira},
journal= {arXiv preprint arXiv:2105.14643},
year = {2021}
}
Comments
24 pages