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January, 2002 New Li-Yau-Hamilton Inequalities for the Ricci Flow via the Space-Time Approach
Bennett Chow, Dan Knopf
J. Differential Geom. 60(1): 1-54 (January, 2002). DOI: 10.4310/jdg/1090351083


We prove Li-Yau-Hamilton inequalties that extend Hamilton's matrix inequality for solutions of the Ricci flow with nonnegative curvature operators. To obtain our extensions, we apply the space-time formalism of S.-C. Chu and one of the authors to solutions of the Ricci flow modified by a cosmological constant. Then we adjoin to the Ricci flow the evolution of a 1-form and a 2-form flowing by a system of heat-type equations. By a rescaling argument, the inequalities we obtain in this manner yield new inequalities which are reminiscent of the linear trace inequality of Hamilton and one of the authors.


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Bennett Chow. Dan Knopf. "New Li-Yau-Hamilton Inequalities for the Ricci Flow via the Space-Time Approach." J. Differential Geom. 60 (1) 1 - 54, January, 2002.


Published: January, 2002
First available in Project Euclid: 20 July 2004

zbMATH: 1048.53026
MathSciNet: MR1924591
Digital Object Identifier: 10.4310/jdg/1090351083

Rights: Copyright © 2002 Lehigh University


Vol.60 • No. 1 • January, 2002
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