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20082026
most citedMinimal volume and simplicial norm of visibility n-manifolds and compact 3-manifolds

2 citations · 4 across the 16 of their papers we have counts for

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13 papers · 1 filter

math.DG2022

Almost Nonnegative Ricci curvature and new vanishing theorems for genera

Xiaoyang Chen, Jian Ge, Fei Han

We derive several vanishing theorems for genera under almost nonnegative Ricci curvature and infinite fundamental group, which includes Todd genus, -genus, elliptic ge…

math.DG2021

Riemannian manifolds with entire Grauert tube are rationally elliptic

Xiaoyang Chen

It was conjectured by Bott-Grove-Halperin that a compact simply connected Riemannian manifold with nonnegative sectional curvature is rationally elliptic. We confirm this conje…

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…

math.DG2019

Holomorphic Euler number of Khler manifolds with almost nonnegative Ricci curvature

Xiaoyang Chen

Let be a compact Khler manifold with almost nonnegative Ricci curvature and nonzero first Betti number. We show that the holomorphic Euler number of vanishes,…

math.DG2019

Morse-Novikov cohomology of almost nonnegatively curved manifolds

Xiaoyang Chen

Let be a closed manifold of almost nonnegative sectional curvature and nonzero first de Rham cohomology group. For any , we show that the M…