Conformally flat homogeneous pseudo-Riemannian four-manifolds

Giovanni Calvaruso; Amirhesam Zaeim

doi:10.2748/tmj/1396875661

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Conformally flat homogeneous pseudo-Riemannian four-manifolds

Giovanni Calvaruso Amirhesam Zaeim

Year: 2014 Journal: Tohoku Mathematical Journal Vol: 66 (1) Publisher: Tohoku University

DOI: 10.2748/tmj/1396875661

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Abstract

We obtain a complete classification of four-dimensional conformally flat homogeneous pseudo-Riemannian manifolds.

Keywords:

Homogeneous Mathematics Riemannian geometry Pure mathematics Ricci-flat manifold Mathematical analysis Conformal map Curvature of Riemannian manifolds Geometry Combinatorics Sectional curvature Scalar curvature

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Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Geometry and complex manifolds

Physical Sciences → Mathematics → Geometry and Topology

Point processes and geometric inequalities

Physical Sciences → Mathematics → Applied Mathematics

Conformally flat homogeneous pseudo-Riemannian four-manifolds

Abstract

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