2 citations · 4 across the 16 of their papers we have counts for
16 papers
Moonshine: An Autonomous Mathematical Research Agent Centered on Conjecture Generation
Xiaoyang Chen, Xiang Jiang
Moonshine is an autonomous agent whose central objective is to generate mathematical conjectures. Its core capability is to extract structure from classical problems, distill new c…
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…
Further study on Horozov-Iliev's method of estimating the number of limit cycles
Xiaoyan Chen, Maoan Han
In the study of the number of limit cycles of near-Hamiltonian systems, the first order Melnikov function plays an important role. This paper aims to establish a development of a k…
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…
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…
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…