35 citations · 258 across the 39 of their papers we have counts for
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Splitting theorems on complete manifolds with Bakry-Émery curvature
Jia-Yong Wu
In this paper we study some splitting properties on complete noncompact manifolds with smooth measures when -dimensional Bakry-Émery Ricci curvature is bounded from below b…
A note on the splitting theorem for the weighted measure
Jia-Yong Wu
In this paper we study complete manifolds equipped with smooth measures whose spectrum of the weighted Laplacian has an optimal positive lower bound and the -dimensional Bakry-É…
On a class of complete non-compact gradient Yamabe solitons
Jia-Yong Wu
We derive lower bounds on the scalar curvature of complete non-compact gradient Yamabe solitons under some integral curvature conditions. Based on this, we prove that the correspon…
The logarithmic entropy formula for the linear heat equation on Riemannian manifolds
Jia-Yong Wu
In this paper we introduce a new logarithmic entropy functional for the linear heat equation on complete Riemannian manifolds and prove that it is monotone decreasing on complete R…
Interpolating between constrained Li-Yau and Chow-Hamilton Harnack inequalities for a nonlinear parabolic equation
Jia-Yong Wu
We establish a one-parameter family of Harnack inequalities connecting the constrained trace Li-Yau differential Harnack inequality for a nonlinear parabolic equation to the constr…
A mild generalization of almost-Schur lemma
Jia-Yong Wu
In this short note we establish an integral geometric inequality in a smooth metric measure space of the nonnegative Bakry-Émery Ricci curvature. This result can be regarded as a m…