8 citations · 45 across the 21 of their papers we have counts for
15 papers · 1 filter
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…
On measure contraction property without Ricci curvature lower bound
Paul W. Y. Lee
Measure contraction properties are synthetic Ricci curvature lower bounds for metric measure spaces which do not necessarily have smooth structures. It is known that if…
Bishop and Laplacian comparison theorems on Sasakian manifolds
Paul W. Y. Lee, Chengbo Li
We prove a Bishop volume comparison theorem and a Laplacian comparison theorem for a natural sub-Riemannian structure defined on Sasakian manifolds. This generalizes the earlier wo…