Flows of piecewise analytic vector fields in convex polytope decompositions

Tianqi Wu

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arXiv · 2312.01698

Flows of piecewise analytic vector fields in convex polytope decompositions

Tianqi Wu

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Abstract

We prove that for a convex polytope decomposition of a domain in $\mathbb R^n$, 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.

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Tianqi Wu. 2023-12-04. Flows of piecewise analytic vector fields in convex polytope decompositions. https://arxiv.org/abs/2312.01698

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