2 papers
math.DG2026
A modified Bakry-Ãmery criterion inequality and the monotonicity of the Tsallis entropy
Xiaohan Cai, Xiaodong Wang
The Bakry-Ãmery criterion inequality provides a method for establishing the logarithmic Sobolev inequality. We prove a one-parameter family of weighted Bakry-Ãmery …
math.DG2024
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…