Canonical solitons associated with generalized Ricci flows 被引量：2

Canonical solitons associated with generalized Ricci flows

导出

摘要 We construct the canonical solitons,in terms of Cabezas-Rivas and Topping,associated with some generalized Ricci flows. We construct the canonical solitons, in terms of Cabezas-Rivas and Topping, associated with some generalized Ricci flows.

作者 CHEN BingLong GU HuiLing

机构地区 Department of Mathematics Sun Yat-sen University

出处《Science China Mathematics》 SCIE 2013年第10期2007-2013,共7页 中国科学：数学（英文版）

基金 supported by National Natural Science Foundation of China(Grant Nos.11025107,10831008 and 10901165) the Fundamental Research Funds for Central Universities(Grant No.201034000-3162643) High Level Talent Project in High Schools in Guangdong Province(Grant No.34000-5221001) the Fundamental Research Funds for the Central Universities(Grant No.101gpy25) China Post-doctoral Science Foundation(Grant No.201003382)

关键词 canonical soliton generalized Ricci flow harmonic map heat flow differential form heat flow 利玛窦孤子广义

分类号 O186.12 [理学—基础数学]

引文网络
相关文献

参考文献14

1Cabezas-Rivas E, Topping P. Canonical shrinking solitons associated to a Ricci flow. Calc Var Partial Differential Equations, 2012, 43: 173-184.
2Cabezas-Rivas E, Topping P. Canonical expanding soliton and Harnack ineqalities for Ricci flow. Trans Amer Math Soc, 2012, 364: 3001-3021.
3Hamilton R. Three manifolds with positive Ricci curvature. J Differ Geom, 1982, 17: 255-306.
4Li P, Yau S T. On the parabolic kernel of the Schr?dinger operator. Acta Math, 1986, 156: 153-201.
5Lott J. Optimal transport and Perelman's reduce volume. Calc Var Partial Differential Equations, 2009, 36: 49-84.
6Mccann R J, Topping P. Ricci flow, entropy and optimal transportation. Amer J Math, 2010, 132: 711-730.
7Müller R. Ricci flow coupled with harmonic map flow. Ann Sci Ec Norm Super, 2012, 45: 101-142.
8Oliynyk T, Suneeta V, Woolgar E. A gradient flow for nonlinear sigma models. Nuclear Phys B, 2006, 739: 441-458.
9Perelman G. The entropy formula for the Ricci flow and its geometric applications. ArXiv.org/math.DG/0211159v1,2002.
10Von Renesse M K, Sturm K T. Transport inequalities, gradient estimates, entropy and Ricci curvature. Comm Pure Appl Math, 2005, 58: 923-940, 153-201.

二级参考文献34

1Xiao Dong WANG(Xiaodong Wang).On the Uniqueness of the ADS Spacetime[J].Acta Mathematica Sinica,English Series,2005,21(4):917-922. 被引量：1
2Aubin T. Equations du type Monge-Ampere sur les varietes Kahleriennes compactes. C R Acad Sci Paris,1976,283: 119-121.
3Chau A. Convergence of the Kahler Ricci ow on noncompact Kahler manifolds. J Di Geom,2004,66: 211-232.
4Cheng S Y,Li P,Yau S T. On the upper estimate of the heat kernel of complete Riemannian manifold. Amer J Math, 1981,103: 1021-1063.
5Cheng S Y,Yau S T. On the existence of a complete Kahler Einstein metric on non-compact complex manifolds and the regularity of Fe erman’s equation. Comm Pure Appl Math,1980,33: 507-544.
6Demailly J P. Regularization of closed positive currents and intersection theory. J Alg Geom,1992,1: 361-409.
7Greene R E,Wu H. C∞ approximation of convex,subharmonic and plurisubharmonic functions. Ann Sci Ec Norm Sup,1979,12: 47-84.
8Li P,Tam L F. The heat equation and harmonic maps of complete manifolds. Invent Math,1991,105: 1-46.
9Li P,Yau S T. On the parabolic kernel of the Schro¨dinger operator. Acta Math,1986,156: 153-201.
10Mok N,Yau S T. Completeness of the Kahler-Einstein metric on bounded domains and the characterization of domains of holomorphy by curvature conditions. The Mathematical Heritage of Henri Poincar′e. Providence,RI: Amer Math Soc,1983.

共引文献1

1Hong Xin GUO,Robert PHILIPOWSKI,Anton THALMAIER.On Gradient Solitons of the Ricci–Harmonic Flow[J].Acta Mathematica Sinica,English Series,2015,31(11):1798-1804.

同被引文献14

1Cabezas-Rivas E, Topping P. Canonical shrinking solitons associated to a Ricci flow. Calc Var Partial Differential Equations, 2012, 43: 173-184.
2Cabezas-Rivas E, Topping P. Canonical expanding soliton and Harnack ineqalities for Ricci flow. Trans Amer Math Soc, 2012, 364: 3001-3021.
3Hamilton R. Three manifolds with positive Ricci curvature. J Differ Geom, 1982, 17: 255-306.
4Li P, Yau S T. On the parabolic kernel of the Schr?dinger operator. Acta Math, 1986, 156: 153-201.
5Lott J. Optimal transport and Perelman's reduce volume. Calc Var Partial Differential Equations, 2009, 36: 49-84.
6Mccann R J, Topping P. Ricci flow, entropy and optimal transportation. Amer J Math, 2010, 132: 711-730.
7Müller R. Ricci flow coupled with harmonic map flow. Ann Sci Ec Norm Super, 2012, 45: 101-142.
8Oliynyk T, Suneeta V, Woolgar E. A gradient flow for nonlinear sigma models. Nuclear Phys B, 2006, 739: 441-458.
9Perelman G. The entropy formula for the Ricci flow and its geometric applications. ArXiv.org/math.DG/0211159v1,2002.
10Von Renesse M K, Sturm K T. Transport inequalities, gradient estimates, entropy and Ricci curvature. Comm Pure Appl Math, 2005, 58: 923-940, 153-201.

引证文献2

1CHEN BingLong,GU HuiLing.Canonical solitons associated with generalized Ricci flows[J].Science China Mathematics,2013,56(10):2007-2013. 被引量：2
2Hong Xin GUO,Robert PHILIPOWSKI,Anton THALMAIER.On Gradient Solitons of the Ricci–Harmonic Flow[J].Acta Mathematica Sinica,English Series,2015,31(11):1798-1804.

二级引证文献2

1CHEN BingLong,GU HuiLing.Canonical solitons associated with generalized Ricci flows[J].Science China Mathematics,2013,56(10):2007-2013. 被引量：2
2Hong Xin GUO,Robert PHILIPOWSKI,Anton THALMAIER.On Gradient Solitons of the Ricci–Harmonic Flow[J].Acta Mathematica Sinica,English Series,2015,31(11):1798-1804.

1简凝.里程(RICCI)V-623XP落地式音箱[J].视听技术,2000(5):24-24.
2石涛.“里程”ST—9000扬声器[J].视听技术,1997(11):86-86.
3Haiping FU,Dengyun YANG.Rigidity Theorems of Complete Ricci Solitons under L^p[J].Journal of Mathematical Research with Applications,2014,34(6):723-728.
4Hong Xin GUO,Robert PHILIPOWSKI,Anton THALMAIER.On Gradient Solitons of the Ricci–Harmonic Flow[J].Acta Mathematica Sinica,English Series,2015,31(11):1798-1804.
5苏延辉,张坤.ON THE KHLER-RICCI SOLITONS WITH VANISHING BOCHNER-WEYL TENSOR[J].Acta Mathematica Scientia,2012,32(3):1239-1244. 被引量：3
6JIANG Ming,YANG Qiang,WU Chunming,LI Ziqiang,MIAO Yuting.End-to-end Congestion Control for TCP-friendly Flows with Variable Data Rates[J].Chinese Journal of Electronics,2012,21(3):541-546. 被引量：2
7Liu Congfeng Liao Guisheng.Canonical framework for multi-channel SAR-GMTI[J].Journal of Systems Engineering and Electronics,2008,19(5):923-928.
8孙永杰.新移动操作系统胜算甚微生态系统建立及时间是挑战[J].通信世界,2013(2):22-22.
9杨泽忠.明清之际《几何原本》后九卷内容的传播[J].数学教学,2005(5):47-49.
10Yuuki Tanaka Shugang Wei.An Advanced Implementation of Canonical Signed-Digit Recoding Circuit[J].通讯和计算机（中英文版）,2013,10(11):1396-1402.

Science China Mathematics

2013年第10期

浏览历史

内容加载中请稍等...