4 citations · 5 across the 5 of their papers we have counts for
5 papers
On astheno-Kähler nilmanifolds with balanced metrics
A. Latorre, L. Ugarte
In this paper we study the structure of complex nilmanifolds admitting some special classes of Hermitian metrics, namely, astheno-Kähler, strongly Gauduchon and balanced metric…
Nilmanifolds with non-nilpotent complex structures and their pseudo-Kähler geometry
A. Latorre, L. Ugarte
We classify nilpotent Lie algebras with complex structures of weakly non-nilpotent type in real dimension eight, which is the lowest dimension where they arise. Our study, together…
Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics
A. Latorre, L. Ugarte, R. Villacampa
In this paper we focus on the interplay between the behaviour of the Frölicher spectral sequence and the existence of special Hermitian metrics on the manifold, such as balanced, S…
On pseudo-Riemannian manifolds with many Killing spinors
D. V. Alekseevsky, V. Cortés
Let be a pseudo-Riemannian spin manifold of dimension and signature and denote by the rank of the real spinor bundle. We prove that is locally homogeneous if it…
On Symplectically Harmonic Forms on Six-dimensional Nilmanifolds
R. Ibáñez, Yu. Rudyak, A. Tralle +1
In the present paper we study the variation of the dimensions of spaces of symplectically harmonic cohomology classes (in the sense of Brylinski) on closed symplectic manifol…