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

Giovanni Catino

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arXiv · 1102.3893

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

Giovanni Catino

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Abstract

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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Giovanni Catino. 2011-02-18. A note on four dimensional (anti-)self-dual quasi-Einstein manifolds. https://arxiv.org/abs/1102.3893

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