On Lie algebras of generators of infinitesimal symmetries of\n almost-cosymplectic-contact structures

2016/10/21 by Josef Janyška, Janyška, Josef
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1610.06714

Abstract

We study Lie algebras of generators of infinitesimal symmetries of\nalmost-cosymplectic-contact structures of odd dimensional manifolds. The\nalmost-cosymplectic-contact structure admits on the sheaf of pairs of 1-forms\nand functions the structure of a Lie algebra. We describe Lie subalgebras in\nthis Lie algebra given by pairs generating infinitesimal symmetries of basic\ntensor fields given by the almost-cosymplectic-contact structure.\n

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