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arXiv · 1707.06304

The affine quasi-Einstein Equation for homogeneous surfaces

Miguel Brozos-Vázquez·Eduardo García-Río·Peter Gilkey·Xabier Valle-Regueiro
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Abstract

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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Miguel Brozos-Vázquez, Eduardo García-Río, Peter Gilkey, Xabier Valle-Regueiro. 2017-07-19. The affine quasi-Einstein Equation for homogeneous surfaces. https://arxiv.org/abs/1707.06304

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