2 papers
math.GT2023
A characterization of the polyhedral metrics on triangulated surfaces
Tianqi Wu
Given a triangulated surface, a polyhedral metric could be constructed by gluing Euclidean triangles edge-to-edge. We carefully describe the construction and prove that such a poly…
math.GT2023
Flows of piecewise analytic vector fields in convex polytope decompositions
Tianqi Wu
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…