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math.DG2021
Canonical diffeomorphisms of manifolds near spheres
Bing Wang, Xinrui Zhao
For a given Riemannian manifold which is near standard sphere in the Gromov-Hausdorff topology and satisfies , it is known by Cheeger-Col…
math.DG2021
Ricci curvature integrals, local functionals, and the Ricci flow
Yuanqing Ma, Bing Wang
Consider a Riemannian manifold whose volume is the same as the standard sphere . If and $\int_{M} \left\{ Rc-(m-1)g\right\}_{-}^{p}…
math.DG2021★ 1 cited
Rigidity of the round cylinders in Ricci shrinkers
Yu Li, Bing Wang
In this paper, we prove that the round cylinders are rigid in the space of Ricci shrinkers. Namely, any Ricci shrinker that is sufficiently close to in th…