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dg-ga1994
Smoothing Riemannian Metrics with Ricci Curvature Bounds
Xianzhe Dai, Guofang Wei, Rugang Ye
We prove that Riemannian metrics with an absolute Ricci curvature bound and a conjugate radius bound can be smoothed to having a sectional curvature bound. Using this we derive a n…
dg-ga1994★ 2 cited
Ricci Curvature and Betti Numbers
Guofang Wei
We derive a uniform bound for the total betti number of a closed manifold in terms of a Ricci curvature lower bound, a conjugate radius lower bound and a diameter upper bound. The…