Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 11-37 |
Seitenumfang | 27 |
Fachzeitschrift | Annals of Global Analysis and Geometry |
Jahrgang | 53 |
Ausgabenummer | 1 |
Frühes Online-Datum | 22 Juni 2017 |
Publikationsstatus | Veröffentlicht - 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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Sozialwissenschaften (insg.)
- Politikwissenschaften und internationale Beziehungen
- Mathematik (insg.)
- Geometrie und Topologie
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in: Annals of Global Analysis and Geometry, Jahrgang 53, Nr. 1, 01.2018, S. 11-37.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 -