Communications in Analysis and Geometry
Volume 13 (2005)
Schouten tensor and some topological properties
Pages: 887 – 902
In this paper, we prove a cohomology vanishing theorem on locally conformally flat manifold under certain positivity assumption on the Schouten tensor. And we show that this type of positivity of curvature is preserved under $0$-surgeries for general Riemannian manifolds, and construct a large class of such manifolds.