Differential Harnack inequalities and the Ricci flow

80 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Special Fast Diffusion with Slow Asymptotics: Entropy Method and Flow on a Riemannian Manifold (2008, background): “Strong connections exist with studies of entropies for heat equations on a static manifold, see for example Ni [34] and also the general references [14, 15, 29].”
Monotone volume formulas for geometric flows (2009, methodology): “See also Kleiner and Lott [7] or Müller [10] for more details.”
Harnack Inequalities: An Introduction (2007, background): “Finally, we refer to [108] for a detailed discussion of how the so called differential Harnack inequality of [17] enters the work of G.”
Ricci flow coupled with harmonic map flow (2009, background): “For the variation of the first integral, we know from Ricci flow theory that I = ∫ M ( −hij ( Rij +∇i∇jf ) + ( 1 2 trg h− ℓ )( 2△f − |∇f |2 +R )) e−fdV, see Perelman [31, Section 1], or Müller [27, Lemma 3.3], for a detailed proof.”