Convergence of Ricci flow on R2 to the plane

被引：3
|
作者：
Ma, Li [1 ]
机构：
[1] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2013年 / 31卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Ricci flow; Kahler-Ricci flow; Maximum principle; Convergence;
D O I：
10.1016/j.difgeo.2013.03.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give a sufficient condition such that the Ricci flow in R-2 exists globally and the flow converges at t = infinity to the flat metric on R-2. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：388 / 392
页数：5
相关论文
共 50 条
  • [1] Convergence of Ricci Flow on R2 to Flat Space
    Isenberg, James
    Javaheri, Mohammad
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2009, 19 (04) : 809 - 816
  • [2] Eternal solutions to the Ricci flow on R2
    Daskalopoulos, P.
    Sesum, N.
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2006, 2006
  • [3] The Harnack estimate for the modified Ricci flow on complete R2
    Chang, SC
    Hong, SK
    Wu, CT
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2003, 33 (01) : 69 - 92
  • [4] Type II collapsing of maximal solutions to the Ricci flow in R2
    Daskalopoulos, P.
    del Pino, Manuel
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2007, 24 (06): : 851 - 874
  • [5] Large time behaviour of solutions of the Ricci flow equation on R2
    Hsu, SY
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 2001, 197 (01) : 25 - 41
  • [6] Type II Extinction Profile of Maximal Solutions to the Ricci Flow in R2
    Daskalopoulos, Panagiota
    Sesum, Natasa
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2010, 20 (03) : 565 - 591
  • [7] Convergence of Ricci Flow on ℝ2 to Flat Space
    James Isenberg
    Mohammad Javaheri
    [J]. Journal of Geometric Analysis, 2009, 19 : 809 - 816
  • [8] PLANE CURVES IN AN IMMERSED GRAPH IN R2
    Sakamoto, Marisa
    Taniyama, Kouki
    [J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2013, 22 (02)
  • [9] Convergence Stability for Ricci Flow
    Eric Bahuaud
    Christine Guenther
    James Isenberg
    [J]. The Journal of Geometric Analysis, 2020, 30 : 310 - 336
  • [10] Convergence Stability for Ricci Flow
    Bahuaud, Eric
    Guenther, Christine
    Isenberg, James
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2020, 30 (01) : 310 - 336
12345