15 citations · 73 across the 31 of their papers we have counts for
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math.DG1999
Curvature, Diameter and Bounded Betti Numbers
Zhongmin Shen, Jyh-Yang Wu
Two main theorems are proved in this paper. Theorem 1: There is a constant C(n, D) depending only on n and D such that for a closed Riemannian n-manifold satisfying Ric > -(n-1) an…
math.MG1999★ 1 cited
On Projectively Related Einstein Metrics
Zhongmin Shen
We study the following problem: given an Einstein metric on a manifold, characterize and study all Einstein metrics which are pointwise projective to the given one. By definition,…
math.DG1999★ 2 cited
The codimension one homology of a complete manifold with nonnegative Ricci curvature
Zhongmin Shen, Christina Sormani
In this paper we prove that a complete noncompact manifold with nonnegative Ricci curvature has a trivial codimension one homology unless it is a split or flat normal bundle over a…