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math.DG2018★ 10 cited
Maximal volume entropy rigidity for spaces
Chris Connell, Xianzhe Dai, Jesús Núñez-Zimbrón +3
For -dimensional Riemannian manifolds with Ricci curvature bounded below by , the volume entropy is bounded above by . If is compact, it is known that the e…
math.DG2018
Fundamental gap estimate for convex domains on sphere -- the case
Xianzhe Dai, Shoo Seto, Guofang Wei
In [SWW16, HW17] it is shown that the difference of the first two eigenvalues of the Laplacian with Dirichlet boundary condition on convex domain with diameter of sphere $\math…