5 citations · 7 across the 3 of their papers we have counts for
3 papers
math.AP2009★ 5 cited
New examples on spaces of negative sectional curvature satisfying Ma-Trudinger-Wang conditions
Paul W. Y. Lee, Jiayong Li
In this paper, we study the Ma-Trudinger-Wang (MTW) conditions for cost functions which are of the form , where is a Riemannian distance function with constant…
math.DG2009★ 2 cited
The orientation-preserving diffeomorphism group of S^2 deforms to SO(3) smoothly
Jiayong Li, Jordan Alan Watts
Smale proved that the orientation-preserving diffeomorphism group of S^2 has a continuous strong deformation retraction to SO(3). In this paper, we construct such a strong deformat…
math.DG2009
Diffeological Smoothness in Hodge Theory
Jiayong Li
On a compact, oriented, Riemannian manifold, the Hodge decomposition theorem associates a smooth primitive to any exact smooth form omega. In this paper, we show that given a smoot…