126 citations · 141 across the 3 of their papers we have counts for
Showing math.DGShow all
3 papers · 1 filter
math.DG2013
Heat kernel estimates under the Ricci-Harmonic map flow
Mihai Băileşteanu, Hung Tran
The paper considers the Ricci flow, coupled with the harmonic map flow between two manifolds. We derive estimates for the fundamental solution of the corresponding conjugate heat e…
math.DG2010★ 6 cited
Bounds on the Heat Kernel under the Ricci Flow
Mihai Bailesteanu
We establish an estimate for the fundamental solution of the heat equation on a closed Riemannian manifold of dimension at least 3, evolving under the Ricci flow. The estimate…
math.DG2009★ 126 cited
Gradient estimates for the heat equation under the Ricci flow
Mihai Bailesteanu, Xiaodong Cao, Artem Pulemotov
The paper considers a manifold evolving under the Ricci flow and establishes a series of gradient estimates for positive solutions of the heat equation on . Among other resu…