2 papers
math.DG2026
Rigidity of Gradient Shrinking Ricci Solitons with a Vanishing Bach-like Tensor and Related Variational Formulas
James Siene
The classical Bach tensor in four dimensions can be expressed as a linear combination of two independent, symmetric, divergence-free, quadratic-in-curvature tensors U and V. Severa…
math.DG2025
Quasi-Einstein manifolds with Harmonic Weyl curvature
Huai-Dong Cao, Fengjiang Li, James Siene
In this paper, we classify -dimensional () quasi-Einstein manifolds with harmonic Weyl curvature, thus extending the work of Shin \cite{Shin} in dimension four for quas…