Left-invariant contact metric structures and connections on Thurston group manifolds

V. I. Panzhenskii ; O. P. Surina

Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Tome 203 (2021), pp. 62-70.

Résumé

This paper is a review of results concerning the existence of left-invariant contact metric structures and connections on the Thurston group manifolds $Nil$ and $Sol$. The concept of a linear connection consistent with a distribution is introduced.

Détail

Keywords: contact structure, metric, connection
Mots-clés : Lie group.

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