Communications in Analysis and Geometry

Volume 13 (2005)

Number 5

Schouten tensor and some topological properties

Pages: 887 – 902

DOI: http://dx.doi.org/10.4310/CAG.2005.v13.n5.a2

Authors

Pengfei Guan

Chang-Shou Lin

Guofang Wang

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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