23 citations · 122 across the 17 of their papers we have counts for
4 papers · 1 filter
Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models
Lawrence C. Evans, Olivier Kneuss, Hung Tran
We study the partial regularity of minimizers for certain singular functionals in the calculus of variations, motivated by Ball and Majumdar's recent modification [BM] of the Landa…
The Weyl Tensor of Gradient Ricci Solitons
Xiaodong Cao, Hung Tran
This paper derives new identities for the Weyl tensor on a gradient Ricci soliton, particularly in dimension four. First, we prove a Bochner-Weitzenböck type formula for the norm o…
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…
Mean Value Inequalities and Conditions to Extend Ricci Flow
Xiaodong Cao, Hung Tran
This paper concerns conditions related to the first finite singularity time of a Ricci flow solution on a closed manifold. In particular, we provide a systematic approach to the me…