Flows of piecewise analytic vector fields in convex polytope decompositions
Geometric Topology
2023-12-05 v1 Classical Analysis and ODEs
Abstract
We prove that for a convex polytope decomposition of a domain in , an integral curve of a piecewise analytic vector field is chopped by the decomposition into finitely many pieces. As a consequence, we prove the finiteness of the number of the edge flips in a discrete Yamabe flow.
Keywords
Cite
@article{arxiv.2312.01698,
title = {Flows of piecewise analytic vector fields in convex polytope decompositions},
author = {Tianqi Wu},
journal= {arXiv preprint arXiv:2312.01698},
year = {2023}
}