2 papers
math.DG2025
Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay
Tian Chong, Han Luo, Lingen Lu
By using the ABP method developed by Cabré and Brendle, we establish some Sobolev inequalities for compact domains and submanifolds in a complete Riemannian manifold with lower qu…
math.DG2024
Liouville theorem for -harmonic heat flows
Han Luo, Weike Yu, Xi Zhang
In this paper, we investigate -harmonic heat flows from complete Riemannian manifolds with nonnegative Bakry-Emery Ricci curvature to complete Riemannian manifolds with sectiona…