Curvature estimates for the Ricci flow II

Curvature estimates for the Ricci flow II

In this paper we present several curvature estimates and convergence results for solutions of the Ricci flow, including the volume normalized Ricci flow and the normalized Kähler-Ricci flow. The curvature estimates depend on smallness of certain local space-time integrals of the norm of the Riemann...

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Veröffentlicht in:Calculus of variations and partial differential equations 2008-04, Vol.31 (4), p.439-455
1. Verfasser: Ye, Rugang
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Calculus of variations
Calculus of Variations and Optimal Control
Optimization
Control
Geometry
Mathematical and Computational Physics
Mathematical problems
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
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Zusammenfassung:In this paper we present several curvature estimates and convergence results for solutions of the Ricci flow, including the volume normalized Ricci flow and the normalized Kähler-Ricci flow. The curvature estimates depend on smallness of certain local space-time integrals of the norm of the Riemann curvature tensor, while the convergence results require finiteness of space-time integrals of this norm. These results also serve as characterization of blow-up singularities.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-007-0122-9