4 citations · 5 across the 8 of their papers we have counts for
5 papers · 1 filter
Homological Filling and Minimal Varifolds in Four-Dimensional Einstein Manifolds
Wenjie Fu, Zhifei Zhu
We study the smallest area of a 2-dimensional stationary integral varifold in a closed Einstein 4-manifold with $Ric_g = λg, |λ|\leq 3, Vol(M,g)\geq v>0, diam(M,…
Length of closed geodesics on Riemannian manifolds with good covers
Zhifei Zhu
In this article, we prove a generalization of our previous result in [12]. In particular, we show that for an -dimensional, simply connected Riemannian manifold with diameter $D…
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…
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 ,…
Subdividing Three-Dimensional Riemannian Disks
Parker Glynn-Adey, Zhifei Zhu
P. Papasoglu asked in [Pap13] whether for any Riemannian 3-disk with diameter , boundary area and volume , there exists a homotopy contracting the boundary to a…