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arxiv: 1707.06304 · v1 · pith:26WSP5XRnew · submitted 2017-07-19 · 🧮 math.DG

The affine quasi-Einstein Equation for homogeneous surfaces

classification 🧮 math.DG
keywords manifoldsquasi-einsteinaffineconformallyeinsteinequationhomogeneoussurfaces
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We study the affine quasi-Einstein Equation for homogeneous surfaces. This gives rise through the modified Riemannian extension to new half conformally flat generalized quasi-Einstein neutral signature $(2,2)$ manifolds, to conformally Einstein manifolds and also to new Einstein manifolds through a warped product construction.

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