Rigidity theorem for compact Bach-flat manifolds with positive constant σ₂
classification
🧮 math.DG
keywords
bach-flatcompactconstantmanifoldpositivesigmaconditioncurvature
read the original abstract
We prove that an n($\geq$ 4)-dimensional compact Bach-flat manifold with positive constant $\sigma_2$ is an Einstein manifold, provided that its Weyl curvature satisfies a suitable pinching condition.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.