3 papers
math.AP2016
Nonparametric hypersurfaces moving by powers of Gauss curvature
Xiaolong Li, Kui Wang
We study asymptotic behavior of nonparametric hypersurfaces moving by powers of Gauss curvature . Our work generalizes the results of V. Oliker [Oli91] for .
math.DG2016
An alternative proof of lower bounds for the first eigenvalue on manifolds
Yuntao Zhang, Kui Wang
Recently, Andrews and Clutterbuck [AC13] gave a new proof of the optimal lower eigenvalue bound on manifolds via modulus of continuity for solutions of the heat equation. In this s…
math.DG2016
Four-dimentional Gradient Shrinking Solitons with Positive Isotropic Curvature
Xiaolong Li, Lei Ni, Kui Wang
We show that a four-dimensional complete gradient shrinking Ricci soliton with positive isotropic curvature is either a quotient of S^4 or a quotient of S^3 cross R. This gives a c…