Research profile

Biao Ma

Works on curve shortening, surfaces and singularities.

NP-RC-4555920000-0003-3773-9389

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2020

math.DGWider flowsv3arXiv:2007.00089

Curve shortening flow on Riemann surfaces with possible ambient conic singularities

Biao Ma

In this paper, we study the curve shortening flow (CSF) on Riemann surfaces. We generalize Huisken's comparison function to Riemann surfaces and surfaces with conic singularities. We reprove the Gage-Hamilton-Grayson theorem on surfaces. We also prove that for embedded simple closed curves, CSF can not touch conic singularities with cone angles .

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