Schouten Tensor and Some Topological Properties

نویسندگان

  • PENGFEI GUAN
  • CHANG-SHOU LIN
  • GUOFANG WANG
چکیده

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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تاریخ انتشار 2004