English

Some results on cosymplectic manifolds

Differential Geometry 2014-05-26 v3

Abstract

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.

Keywords

Cite

@article{arxiv.0803.0384,
  title  = {Some results on cosymplectic manifolds},
  author = {Anna Fino and Luigi Vezzoni},
  journal= {arXiv preprint arXiv:0803.0384},
  year   = {2014}
}

Comments

19 pages, final version to appear in Geometriae Dedicata

R2 v1 2026-06-21T10:18:04.438Z