16 citations · 87 across the 25 of their papers we have counts for
3 papers · 1 filter
A splitting theorem for compact Vaisman manifolds
Giovanni Bazzoni, Juan Carlos Marrero, John Oprea
We extend to metric compact mapping tori a splitting result for coKähler manifolds. In particular, we prove that a compact Vaisman manifold is finitely covered by the product of a…
On locally conformal symplectic manifolds of the first kind
Giovanni Bazzoni, Juan Carlos Marrero
We present some examples of locally conformal symplectic structures of the first kind on compact nilmanifolds which do not admit Vaisman metrics. One of these examples does not adm…
Formality and the Lefschetz property in symplectic and cosymplectic geometry
Giovanni Bazzoni, Marisa Fernández, Vicente Muñoz
We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschet…