Einstein metrics and preserved curvature conditions for the Ricci flow

Details Einstein metrics and preserved curvature conditions for the Ricci flow Einstein metrics and preserved curvature conditions for the Ricci flow

2010-04-02

arxiv.org/abs/1004.0290v1

Mathematics

Differential Geometry

To appear in Proceedings of CDG 2009, Hannover

Scientific paper

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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