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math.DG2020
A conformal characterization of manifolds of constant sectional curvature
Xiaoyang Chen, Francisco Fontenele, Frederico Xavier
A special case of the main result states that a complete -connected Riemannian manifold is isometric to one of the models , , of…
math.DG2020
New Bochner type theorems
Xiaoyang Chen, Fei Han
A classical theorem of Bochner asserts that the isometry group of a compact Riemannian manifold with negative Ricci curvature is finite. In this paper we give several extensions of…