Harmonic metrics on four dimensional non-reductive homogeneous manifolds

Zaeim, Amirhesam   ; Atashpeykar, Parvane

Czechoslovak Mathematical Journal, Tome 68 (2018) no. 2, pp. 475-490

Abstract (VO)

We study harmonic metrics with respect to the class of invariant metrics on non-reductive homogeneous four dimensional manifolds. In particular, we consider harmonic lifted metrics with respect to the Sasaki lifts, horizontal lifts and complete lifts of the metrics under study.

Détail

DOI : 10.21136/CMJ.2018.0502-16

Classification : 53C43, 53C55
Keywords: harmonic metric; non-reductive homogeneous space; pseudo-Riemannian geometry

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