Geodesics for Discrete manifolds
Combinatorics
2025-03-25 v1
Abstract
The geodesic flow on a finite discrete q-manifold with or without boundary is defined as as a permutation of its ordered q-simplices. This allows to define geodesic sheets and a notion of sectional curvature.
Cite
@article{arxiv.2503.18299,
title = {Geodesics for Discrete manifolds},
author = {Oliver Knill},
journal= {arXiv preprint arXiv:2503.18299},
year = {2025}
}
Comments
12 pages, 5 figures