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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 ,…