| Schouten tensor and some topological properties (2005) | |||||||||||
Abstract | |||||||||||
| 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. | |||||||||||
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