Stochastic Particle Approximations for the Ricci Flow on Surfaces and the Yamabe Flow

被引：1
|
作者：
Philipowski, Robert [1 ]
机构：
[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany
来源：
POTENTIAL ANALYSIS | 2011年 / 35卷 / 04期
关键词：
Ricci flow on surfaces; Yamabe flow; Stochastic interacting particle system; POROUS-MEDIUM EQUATION; CONVERGENCE;
D O I：
10.1007/s11118-010-9216-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present stochastic particle approximations for the normalized Ricci flow on surfaces and for the non-normalized Yamabe flow on manifolds of arbitrary dimension.
引用
收藏
页码：353 / 371
页数：19
相关论文
共 50 条
  • [31] Inoue surfaces and the Chern-Ricci flow
    Fang, Shouwen
    Tosatti, Valentino
    Weinkove, Ben
    Zheng, Tao
    JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 271 (11) : 3162 - 3185
  • [32] RICCI FLOW ON SURFACES WITH DEGENERATE INITIAL METRICS
    Chen Xiuxiong
    Ding Weiyue
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2007, 20 (03): : 193 - 202
  • [33] Ricci flow on surfaces of revolution: an extrinsic view
    Vincent E. Coll
    Jeff Dodd
    David L. Johnson
    Geometriae Dedicata, 2020, 207 : 81 - 94
  • [34] Curvature integrals under the Ricci flow on surfaces
    Yokota, Takumi
    GEOMETRIAE DEDICATA, 2008, 133 (01) : 169 - 179
  • [35] The Chern-Ricci flow on complex surfaces
    Tosatti, Valentino
    Weinkove, Ben
    COMPOSITIO MATHEMATICA, 2013, 149 (12) : 2101 - 2138
  • [36] A note on uniformization of Riemann surfaces by Ricci flow
    Chen, Xiuxiong
    Lu, Peng
    Tian, Gang
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (11) : 3391 - 3393
  • [37] The Kahler-Ricci flow on Hirzebruch surfaces
    Song, Jian
    Weinkove, Ben
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2011, 659 : 141 - 168
  • [38] Ricci flow on Kahler-Einstein surfaces
    Chen, XX
    Tian, G
    INVENTIONES MATHEMATICAE, 2002, 147 (03) : 487 - 544
  • [39] The Chern–Ricci flow on primary Hopf surfaces
    Gregory Edwards
    Mathematische Zeitschrift, 2021, 299 : 1689 - 1702
  • [40] The Ricci Flow with Metric Torsion on Closed Surfaces
    Volker Branding
    Klaus Kröncke
    The Journal of Geometric Analysis, 2017, 27 : 2098 - 2117
12345