Qiang Tan

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math.DG2026

Bochner-Yano Type Theorems for Conformal Killing Vector Fields under Curvature Pinching Conditions

Teng Huang, Qiang Tan, Weiwei Wang

In this article, we investigate conformal Killing vector fields on closed Riemannian manifolds under a curvature pinching condition. By establishing a new Bochner-type identity for…

math.DG2025

Curvature operator and Euler number

Huang Teng, Tan Qiang

Let $(X, g)$ be a compact $n$ -dimensional smooth Riemannian manifold with a lower bound on the average of the lowest $n - p$ eigenvalues of the curvature operator and the diameter of…