Some results on cosymplectic manifolds

Details Some results on cosymplectic manifolds Some results on cosymplectic manifolds

2008-03-04

arxiv.org/abs/0803.0384v3

Mathematics

Differential Geometry

19 pages, final version to appear in Geometriae Dedicata

Scientific paper

We obtain a generalization of the Kodaira-Morrow stability theorem for
cosymplectic structures. We investigate cosymplectic geometry on Lie groups and
on their compact quotients by uniform discrete subgroups. In this way we show
that a compact solvmanifold admits a cosymplectic structure if and only if it
is a finite quotient of a torus.

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