2 citations · 2 across the 3 of their papers we have counts for
5 papers
The --lemma for weakly Lefschetz symplectic manifolds
Marisa Fernández, Vicente Muñoz, Luis Ugarte
For a symplectic manifold , not necessarily hard Lefschetz, we prove a version of the Merkulov --lemma. We also study the --lemma and related cohomologies for compac…
Hermitian structures on six dimensional nilmanifolds
Luis Ugarte
Let (J,g) be a Hermitian structure on a compact nilmanifold M with invariant complex structure J and compatible metric g, which is not required to be invariant. We give classificat…
Weakly Lefschetz symplectic manifolds
Marisa Fernandez, Vicente Munoz, Luis Ugarte
The harmonic cohomology of a Donaldson symplectic submanifold and of an Auroux symplectic submanifold are compared with that of its ambient space. We also study symplectic manifold…
Symplectically harmonic cohomology of nilmanifolds
R. Ibáñez, Yu. Rudyak, A. Tralle +1
This paper can be considered as an extension to our paper [On symplectically harmonic forms on six-dimensional nilmanifolds, Comment. Math. Helv. 76 (2001), n 1, 89-109]. Also, it…
On certain geometric and homotopy properties of closed symplectic manifolds
Raúl Ibáñez, Yuli Rudyak, Aleksy Tralle +1
The paper deals with relations between the Hard Lefschetz property, (non)vanishing of Massey products and the evenness of odd-degree Betti numbers of closed symplectic manifolds. I…