A note on four dimensional (anti-)self-dual quasi-Einstein manifolds

Details A note on four dimensional (anti-)self-dual quasi-Einstein manifolds A note on four dimensional (anti-)self-dual quasi-Einstein manifolds

2011-02-18

arxiv.org/abs/1102.3893v4

Mathematics

Differential Geometry

Scientific paper

In this short note we prove that any complete four dimensional anti-self-dual
(or self-dual) quasi-Einstein manifolds is either Einstein or locally
conformally flat. This generalizes a recent result of X. Chen and Y. Wang.

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