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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive
Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2009 Number 3(7), Pages 56–63 (Mi vtgu72)
MATHEMATICS

Left invariant contact metric structures on solvable lie groups of dimension 5

Ya. V. Slavolyubova

Kemerovo State University

Abstract: In this article considered contact metric structures on some solvable Lie groups of dimension 5. The 6-parametrical family of contact metric structures is studied and their geometrical characteristics are researched.

Keywords: contact manifolds, Lie groups, Lie algebras, contact structure, contact metric structures, Sasakian structure, $K$-contact structures.

UDC: 514.76


Accepted: April 25, 2009


© Steklov Math. Inst. of RAS, 2024