The affine quasi-Einstein Equation for homogeneous surfaces

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 w...

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Bibliographic Details
Published in:	Manuscripta mathematica Vol. 157; no. 1-2; pp. 279 - 294
Main Authors:	Brozos-Vázquez, M., García-Río, E., Gilkey, P., Valle-Regueiro, X.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-09-2018 Springer Nature B.V
Subjects:	Algebraic Geometry Calculus of Variations and Optimal Control; Optimization Einstein equations Geometry Lie Groups Manifolds Mathematics Mathematics and Statistics Number Theory Topological Groups 53B30 53C24 53C44 53C21
Online Access:	Get full text
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Summary:	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.
ISSN:	0025-2611 1432-1785
DOI:	10.1007/s00229-017-0987-7