Injectivity radius bound of Ricci flow with positive Ricci curvature and applications

Injectivity radius bound of Ricci flow with positive Ricci curvature and applications

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摘要 We study the injectivity radius bound for 3-d Ricci flow with bounded curvature. As applications, we show the long time existence of the Ricci flow with positive Ricci curvature and with curvature decay condition at infinity. We partially settle a question of Chow-Lu-Ni [Hamilton＇s Ricci Flow, p. 302]. We study the injectivity radius bound for 3-d Ricci flow with bounded curvature. As applications, we show the long time existence of the Ricci flow with positive Ricci curvature and with curvature decay condition at infinity. We partially settle a question of Chow-Lu-Ni [Hamilton＇s Ricci Flow, p. 302].

作者 Li MA Anqiang ZHU

机构地区 Zhongyuan Institute of Mathematics and Department of Mathematics Department of Mathematics

出处《Frontiers of Mathematics in China》 SCIE CSCD 2013年第5期1129-1137,共9页 中国高等学校学术文摘·数学（英文）

关键词 Injectivity radius bound Ricci flow positive Ricci curvature global solution Injectivity radius bound, Ricci flow, positive Ricci curvature, global solution

分类号 O186.12 [理学—基础数学] TP317 [自动化与计算机技术—计算机软件与理论]

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1黄红.关于非紧流形上的Ricci流的一个注记(英文)[J].数学研究,2009,42(4):351-355. 被引量：1

二级参考文献8

1Ma L, Zhu A. Nonsingular Ricci flow on a noncompact manifold in dimension three, arXiv: 0806. 4672v1; appeared in C.R. Math. Acad. Sci. Paris 347, 2009(3-4): 185-190.
2Chau A, Tam L F, Yu C. Pseudolocality for the Ricci flow and applications, arXiv:math. 0701153v2; to appear in Canad. J. Math.
3Perelman G. The entropy formula for the Ricci flow and its geometric applications, arXiv:math. DG/0211159v1.
4Ni L. Ancient solutions to Kahler-Ricci flow. Math. Res. Lett. 2005, 20(5-6): 633-653.
5Shi W X. Deforming the metric on complete Pdemannian manifolds. J. Diff. Geom., 1989, 30 (1): 223-301.
6Shi W X. Complete noncompact three manifolds with nonnegative Ricci curx-ture. J. Diff. Geom., 1989(29): 353-360.
7Kleiner B, Lott J. Notes on Perelman's papers, arXiv: math. 0605667v3; appeared in Geom Topol., 2008, 12(5): 2587-2855.
8Hamilton R. A compactness property for solutions of the Ricci flow. Amer. J. Math., 1995 117(3): 545-572.

1顾会玲.MANIFOLDS WITH POINTWISE PINCHED RICCI CURVATURE[J].Acta Mathematica Scientia,2010,30(3):819-829.
2HADWIN Don,PAULSEN Vern I.Injectivity and projectivity in analysis and topology[J].Science China Mathematics,2011,54(11):2347-2359.
3蔡开仁.ESTIMATE ON LOWER BOUND OF THE FIRST EIGENVALUE OF A COMPACT RIEMANNIAN MANIFOLD[J].Chinese Annals of Mathematics,Series B,1991,12(3):267-271. 被引量：3
4陈彭年,贺建勋,秦化淑.A proof of the Jacobian conjecture on global asymptotic stability[J].Chinese Science Bulletin,1996,41(15):1233-1237.
5Peng Nian CHEN,Jian Xun HE,Hua Shu QIN.A Proof of the Jacobian Conjecture on Global Asymptotic Stability[J].Acta Mathematica Sinica,English Series,2001,17(1):119-132. 被引量：1
6Ming Yi WANG,Guo ZHAO.On Maximal Injectivity[J].Acta Mathematica Sinica,English Series,2005,21(6):1451-1458. 被引量：3
7Liu JIAN-YU,LIu XI-MIN.Ricci Curvature of Certain Submanifolds in Kenmotsu Space Forms[J].Communications in Mathematical Research,2009,25(4):340-348.
8YIN SongTing,HE Qun,SHEN YiBing.On the first eigenvalue of Finsler manifolds with nonnegative weighted Ricci curvature[J].Science China Mathematics,2014,57(5):1057-1070. 被引量：1
9于增海,段海生.Characterization of Hereditary Rings ViaInjectivity and Projectivity Classes[J].Chinese Quarterly Journal of Mathematics,1998,13(2):27-30.
10XU Sen-lin HU Zi-sheng.Small Excess and the Topology of Open Manifolds with Ricci Curvature Negatively Lower Bounded[J].Chinese Quarterly Journal of Mathematics,2007,22(1):16-21.

Frontiers of Mathematics in China

2013年第5期

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Injectivity radius bound of Ricci flow with positive Ricci curvature and applications

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