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math.DG2021
Uryson width of three dimensional mean convex domain with non-negative Ricci curvature
Zhichao Wang, Bo Zhu
We prove that for every three dimensional manifold with nonnegative Ricci curvature and strictly mean convex boundary, there exists a Morse function so that each connected componen…
math.DG2021
Conformal upper bounds for the volume spectrum
Zhichao Wang
In this paper, we prove upper bounds for the volume spectrum of a Riemannian manifold that depend only on the volume, dimension and a conformal invariant.