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arxiv: 1702.06714 · v1 · pith:MM7DKQK6new · submitted 2017-02-22 · 🧮 math.DG

Half conformally flat generalized quasi-Einstein manifolds

classification 🧮 math.DG
keywords affineconformallyequationflatgeneralizedhalfmanifoldsquasi-einstein
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We provide classification results for and examples of half conformally flat generalized quasi Einstein manifolds of signature $(2,2)$. This analysis leads to a natural equation in affine geometry called the affine quasi-Einstein equation that we explore in further detail.

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