Geodesic
Left-invariant contact metric structures and connections on Thurston group manifolds
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Tome 203 (2021), pp. 62-70

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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.
Keywords: contact structure, metric, connection
Mots-clés : Lie group. 
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     author = {V. I. Panzhenskii and O. P. Surina},
     title = {Left-invariant contact metric structures and connections on {Thurston} group manifolds},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {62--70},
     publisher = {mathdoc},
     volume = {203},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_203_a5/}
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V. I. Panzhenskii; O. P. Surina. Left-invariant contact metric structures and connections on Thurston group manifolds. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Tome 203 (2021), pp. 62-70. http://geodesic.mathdoc.fr/item/INTO_2021_203_a5/