35 citations · 91 across the 12 of their papers we have counts for
5 papers · 2 filters
Berger curvature decomposition, Weitzenböck formula, and canonical metrics on four-manifolds
Peng Wu
We first provide an alternative proof of the classical Weitzneböck formula for Einstein four-manifolds using Berger curvature decomposition, motivated by which we establish a unifi…
On -Liouville property for smooth metric measure spaces
Jia-Yong Wu, Peng Wu
In this short paper we study -Liouville property with for nonnegative -subharmonic functions on a complete noncompact smooth metric measure space …
Gradient shrinking Ricci solitons of half harmonic Weyl curvature
Jia-Yong Wu, Peng Wu, William Wylie
We prove that a four-dimensional gradient shrinking Ricci soliton with is either Einstein, or a finite quotient of , or $\…
Heat kernel on smooth metric measure spaces and applications
Jia-Yong Wu, Peng Wu
We derive a Harnack inequality for positive solutions of the -heat equation and Gaussian upper and lower bounds for the -heat kernel on complete smooth metric measure spaces…
Heat Kernel on Smooth Metric Measure Spaces with Nonnegative Curvature
Jia-Yong Wu, Peng Wu
We derive a local Gaussian upper bound for the -heat kernel on complete smooth metric measure space with nonnegative Bakry-Émery Ricci curvature, which generali…