Solutions to the affine quasi-Einstein equation for homogeneous surfaces

DOI10.1515/advgeom-2020-0011zbMath1451.53051arXiv1802.07953OpenAlexW3043706634MaRDI QIDQ2194715

Peter B. Gilkey, X. Valle-Regueiro, Eduardo García-Río, Miguel Brozos-Vázquez

Publication date: 7 September 2020

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07953

zbMATH Keywords

affine Killing vector fieldhomogeneous affine surfaceaffine quasi-Einstein equationtype \(\mathcal A\) geometrytype \(\mathcal B\) geometrytype \(\mathcal C\) geometry

Mathematics Subject Classification ID

Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items

A natural linear equation in affine geometry: The affine quasi-Einstein Equation ⋮ Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2)

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