3 papers
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
Dolbeault-Morse-Novikov Cohomology on Complex manifolds and its applications
Teng Huang, Qiang Tan
In this article, we investigate the topological properties of complex manifolds by studying Dolbeault-Morse-Novikov cohomology. By establishing an integral inequality, we obtain tw…
math.DG2025
Curvature operator and Euler number
Huang Teng, Tan Qiang
Let be a compact -dimensional smooth Riemannian manifold with a lower bound on the average of the lowest eigenvalues of the curvature operator and the diameter of…