124 citations · 988 across the 137 of their papers we have counts for
6 papers · 1 filter
Covariant Riesz transform on differential forms for
Li-Juan Cheng, Anton Thalmaier, Feng-Yu Wang
In this paper, we study -boundedness () of the covariant Riesz transform on differential forms for a class of non-compact weighted Riemannian manifolds without assu…
Some inequalities on Riemannian manifolds linking Entropy,Fisher information, Stein discrepancy and Wasserstein distance
Li-Juan Cheng, Feng-Yu Wang, Anton Thalmaier
For a complete connected Riemannian manifold let be such that $μ(d x)={\rm e}^{-V(x)} \mbox{vol}(d x)$ is a probability measure on . Taking as reference me…
Gradient and Hessian Estimates for Dirichlet and Neumann Eigenfunctions
Feng-Yu Wang
We establish integral formulas and sharp two-sided bounds for the Ricci curvature, mean curvature and second fundamental form on a Riemannian manifold with boundary. As application…
Identifying Constant Curvature Manifolds, Einstein Manifolds, and Ricci Parallel Manifolds
Feng-Yu Wang
We establish variational formulas for Ricci upper and lower bounds, as well as a derivative formula for the Ricci curvature. As applications, constant curvature manifolds, Einstein…
Equivalent Harnack and Gradient Inequalities for Pointwise Curvature Lower Bound
Marc Arnaudon, Anton Thalmaier, Feng-Yu Wang
By using a coupling method, an explicit log-Harnack inequality with local geometry quantities is established for (sub-Markovian) diffusion semigroups on a Riemannian manifold (poss…
Existence of the spectral gap for elliptic operators
Feng-Yu Wang
Let be a connected, noncompact, complete Riemannian manifold, consider the operator $L=\DD +\nn V$ for some with integrable w.r.t. the Riemannian volume…