Details
| Original language | English |
|---|---|
| Pages (from-to) | 11-37 |
| Number of pages | 27 |
| Journal | Annals of Global Analysis and Geometry |
| Volume | 53 |
| Issue number | 1 |
| Early online date | 22 Jun 2017 |
| Publication status | Published - Jan 2018 |
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.
Keywords
- Area decreasing maps, Graphical surfaces, Mean curvature flow, Riemann surfaces
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Social Sciences(all)
- Political Science and International Relations
- Mathematics(all)
- Geometry and Topology
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In: Annals of Global Analysis and Geometry, Vol. 53, No. 1, 01.2018, p. 11-37.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Mean curvature flow of area decreasing maps between Riemann surfaces
AU - Savas-Halilaj, Andreas
AU - Smoczyk, Knut
PY - 2018/1
Y1 - 2018/1
N2 - 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.
AB - 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.
KW - Area decreasing maps
KW - Graphical surfaces
KW - Mean curvature flow
KW - Riemann surfaces
UR - http://www.scopus.com/inward/record.url?scp=85021098058&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1602.07595
DO - 10.48550/arXiv.1602.07595
M3 - Article
AN - SCOPUS:85021098058
VL - 53
SP - 11
EP - 37
JO - Annals of Global Analysis and Geometry
JF - Annals of Global Analysis and Geometry
SN - 0232-704X
IS - 1
ER -