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arXiv · 1004.0290

Einstein metrics and preserved curvature conditions for the Ricci flow

S. Brendle
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Abstract

Let C be a cone in the space of algebraic curvature tensors. Moreover, let (M,g) be a compact Einstein manifold with the property that the curvature tensor of (M,g) lies in the cone C at each point on M. We show that (M,g) has constant sectional curvature if the cone C satisfies certain structure conditions.

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S. Brendle. 2010-04-02. Einstein metrics and preserved curvature conditions for the Ricci flow. https://arxiv.org/abs/1004.0290

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