8 citations · 45 across the 21 of their papers we have counts for
26 papers
An almost splitting theorem for a warped product space
Paul Woon Yin Lee
We prove an almost splitting theorem for the warped product space with warped function .
A Warped Product Splitting Theorem Through Weak KAM Theory
Paul W. Y. Lee
In this paper, we strengthen the splitting theorem proved in [14, 15] and provide a different approach using ideas from the weak KAM theory.
Volume Rigidity of Principal Circle Bundles over the Complex Projective Space
Paul W. Y. Lee
In this paper, we prove that principal circle bundles over the complex projective space equipped with the standard Sasakian structures are volume rigid among all -contact manifo…
Ricci curvature lower bounds on Sasakian manifolds
Paul W. Y. Lee
Measure contraction property is a synthetic Ricci curvature lower bound for metric measure spaces. We consider Sasakian manifolds with non-negative Tanaka-Webster Ricci curvature e…
Sharp Harnack inequalities for a family of hypoelliptic diffusions
P. W. Y. Lee
We prove sharp Harnack inequalities for a family of Kolmogorov-Fokker-Planck type hypoelliptic diffusions.
The Harnack inequality and the Jordan-Kinderlehrer-Otto scheme
P. W. Y. Lee
We establish a version of the Harnack inequality for the Jordan-Kinderlehrer-Otto scheme of the heat equation on the flat torus.