Conformally flat homogeneous pseudo-Riemannian four-manifolds

Giovanni Calvaruso; Amirhesam Zaeim

doi:10.2748/tmj/1396875661

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Home > Journals > Tohoku Math. J. (2) > Volume 66 > Issue 1 > Article

2014 Conformally flat homogeneous pseudo-Riemannian four-manifolds

Giovanni Calvaruso, Amirhesam Zaeim

Tohoku Math. J. (2) 66(1): 31-54 (2014). DOI: 10.2748/tmj/1396875661

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Abstract

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

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Giovanni Calvaruso. Amirhesam Zaeim. "Conformally flat homogeneous pseudo-Riemannian four-manifolds." Tohoku Math. J. (2) 66 (1) 31 - 54, 2014. https://doi.org/10.2748/tmj/1396875661

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Published: 2014

First available in Project Euclid: 7 April 2014

zbMATH: 1296.53136

MathSciNet: MR3189478

Digital Object Identifier: 10.2748/tmj/1396875661

Subjects:

Primary: 53C50

Secondary: 53C15 , 53C25

Keywords: Conformally flat manifolds , homogeneous pseudo-Riemannian manifolds , Ricci operator , Segre types

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Tohoku Math. J. (2)

Vol.66 • No. 1 • 2014

Tohoku University, Mathematical Institute

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Giovanni Calvaruso, Amirhesam Zaeim "Conformally flat homogeneous pseudo-Riemannian four-manifolds," Tohoku Mathematical Journal, Tohoku Math. J. (2) 66(1), 31-54, (2014)

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