Publications at the Riemann Center

Mean curvature flow of area decreasing maps between Riemann surfaces

Authored by

Andreas Savas-Halilaj, Knut Smoczyk

Abstract

In this article, we give a complete description of the evolution of an area decreasing map f: M→ N, induced by the mean curvature of their graph, in the situation where M and N are complete Riemann surfaces with bounded geometry, M being compact, for which their sectional curvatures σM and σN satisfy min σM≥ sup σN.

Details

Organisation(s)
Institute of Differential Geometry
Riemann Center for Geometry and Physics
Type
Article
Journal
Annals of Global Analysis and Geometry
Volume
53
Pages
11-37
No. of pages
27
ISSN
0232-704X
Publication date
01.2018
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Analysis, Political Science and International Relations, Geometry and Topology
Electronic version(s)
https://doi.org/10.48550/arXiv.1602.07595 (Access: Open )
https://doi.org/10.1007/s10455-017-9566-0 (Access: Closed )
PDF
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