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Volume growth for gradient shrinking solitons of Ricci-harmonic flow 被引量:5

Volume growth for gradient shrinking solitons of Ricci-harmonic flow
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摘要 In this paper,we derive an estimate on the potential functions of complete noncompact gradient shrinking solitons of Ricci-harmonic flow,and show that complete noncompact gradient shrinking Ricci-harmonic solitons have Euclidean volume growth at most. In this paper, we derive an estimate on the potential functions of complete noncompact gradient shrinking solitons of Ricci-harmonic flow, and show that complete noncompact gradient shrinking Ricci-harmonic solitons have Euclidean volume growth at most.
出处 《Science China Mathematics》 SCIE 2012年第6期1221-1228,共8页 中国科学:数学(英文版)
基金 supported by the Fundamental Research Funds for the Central Universities(Grant No. 2011JC021)
关键词 Ricci-harmonic flow gradient soliton volume growth 梯度估计 利玛窦 孤子 波流 潜在功能 欧几里德
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  • 1Julie Clutterbuck,Oliver C. Schnürer,Felix Schulze. Stability of translating solutions to mean curvature flow[J] 2007,Calculus of Variations and Partial Differential Equations(3):281~293
  • 2Felix Schulze. Evolution of convex hypersurfaces by powers of the mean curvature[J] 2005,Mathematische Zeitschrift(4):721~733
  • 3John Urbas. Complete noncompact self-similar solutions of Gauss curvature flows I. Positive powers[J] 1998,Mathematische Annalen(2):251~274

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