Mean curvature flow of area decreasing maps between Riemann surfaces

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)11-37
Seitenumfang27
FachzeitschriftAnnals of Global Analysis and Geometry
Jahrgang53
Ausgabenummer1
Frühes Online-Datum22 Juni 2017
PublikationsstatusVeröffentlicht - 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

Zitieren

Mean curvature flow of area decreasing maps between Riemann surfaces. / Savas-Halilaj, Andreas; Smoczyk, Knut.
in: Annals of Global Analysis and Geometry, Jahrgang 53, Nr. 1, 01.2018, S. 11-37.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Savas-Halilaj A, Smoczyk K. Mean curvature flow of area decreasing maps between Riemann surfaces. Annals of Global Analysis and Geometry. 2018 Jan;53(1):11-37. Epub 2017 Jun 22. doi: 10.48550/arXiv.1602.07595, 10.1007/s10455-017-9566-0
Download
@article{3a70161e26db4c4b90f214e958e0c2bc,
title = "Mean curvature flow of area decreasing maps between Riemann surfaces",
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",
author = "Andreas Savas-Halilaj and Knut Smoczyk",
year = "2018",
month = jan,
doi = "10.48550/arXiv.1602.07595",
language = "English",
volume = "53",
pages = "11--37",
journal = "Annals of Global Analysis and Geometry",
issn = "0232-704X",
publisher = "Springer Netherlands",
number = "1",

}

Download

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 -

Von denselben Autoren