Concepedia

Conformally flat homogeneous pseudo-Riemannian four-manifolds

Giovanni Calvaruso, Amirhesam Zaeim

Tohoku Mathematical Journal · 2014 · 22 citations · 7 references

DOIFull text

Open access

Concepts

Abstract

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

References

7

Infinitesimally homogeneous spaces

I. M. Singer · Communications on Pure and Applied Mathematics · 1960 · 194 citations

The Geometry of Walker Manifolds

Miguel Brozos‐Vázquez, Eduardo García‐Río, Peter Gilkey et al. · Synthesis lectures on mathematics and statistics · 2009 · 93 citations

, , +14

Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds

Giovanni Calvaruso · Geometriae Dedicata · 2007 · 85 citations

, , +14

Curvature properties of four-dimensional Walker metrics

M. Chaichi, Eduardo García‐Río, Yasuo Matsushita · Classical and Quantum Gravity · 2005 · 53 citations

, , +16

Conformally flat Riemannian manifolds admitting a transitive group of isometries, II

Hitoshi Takagi · Tohoku Mathematical Journal · 1975 · 34 citations · Full text

, , +12