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.

Organisation(s)
Institut für Differentialgeometrie
Riemann Center for Geometry and Physics
Type
Artikel
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
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Analysis, Politikwissenschaften und internationale Beziehungen, Geometrie und Topologie
Electronic version(s)
https://doi.org/10.48550/arXiv.1602.07595 (Access: Offen)
https://doi.org/10.1007/s10455-017-9566-0 (Access: Geschlossen)