20 citations · 96 across the 48 of their papers we have counts for
49 papers
Cheeger constant rigidity for cocompact negatively curved manifolds
Kuntao Jin, Xiaodong Wang, Bo Zhu
Let , , be a closed connected Riemannian manifold with $\secg_g\leq-1$, and let be its universal cover. Yau proved that $\hiso(X)\geq m-1$. We prove that…
Spectral Improvements of Geometric Inequalities on Closed Kähler Manifolds
Sayantan Chakraborty, Xiaodong Wang, Tian Wu
Let be a closed Kähler manifold satisfying . We establish improved Liouville theorems for the Euler--Lagrange equations associated with the…
A modified Bakry-Émery criterion inequality and the monotonicity of the Tsallis entropy
Xiaohan Cai, Xiaodong Wang
The Bakry-Émery criterion inequality provides a method for establishing the logarithmic Sobolev inequality. We prove a one-parameter family of weighted Bakry-Émery crit…
Liouville Theorems on pseudohermitian manifolds with nonnegative Tanaka-Webster curvature
Giovanni Catino, Dario Daniele Monticelli, Alberto Roncoroni +1
In this paper we study positive solutions to the CR Yamabe equation in noncompact -dimensional Sasakian manifolds with nonnegative curvature. In particular, we show that th…
On the variation of the Einstein-Hilbert action in pseudohermitian geometry
Claudio Afeltra, Jih-Hsin Cheng, Andrea Malchiodi +1
In this paper we compute the first and second variation of the normalized Einstein-Hilbert functional on CR manifolds. We characterize critical points as pseudo-Einstein structures…
On physical measures of multi-singular hyperbolic vector fields
Sylvain Crovisier, Xiaodong Wang, Dawei Yang +1
Bonatti and da Luz have introduced the class of \emph{multi-singular hyperbolic} vector fields to characterize systems whose periodic orbits and singularities do not bifurcate unde…