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math.DG2021
Almost sharp Sobolev trace inequalities in the unit ball under constraints
Xuezhang Chen, Wei Wei, Nan Wu
We establish three families of Sobolev trace inequalities of orders two and four in the unit ball under higher order moments constraint, and are able to construct \emph{smooth} tes…
math.DG2017★ 1 cited
An upper bound for the smallest area of a minimal surface in manifolds of dimension four
Nan Wu, Zhifei Zhu
In this paper, we prove that for any closed 4-dimensional Riemannian manifold with trivial first homology group, if the Ricci curvature , the diameter $diam(M)\leq…
math.DG2017
Length of a shortest closed geodesic in manifolds of dimension four
Nan Wu, Zhifei Zhu
In this paper, we show that for any closed 4-dimensional simply-connected Riemannian manifold with Ricci curvature , volume , and diameter ,…