8 citations · 22 across the 10 of their papers we have counts for
9 papers · 1 filter
On some properties of Hopf manifolds
Nicolina Istrati, Alexandra Otiman
We review old and new properties of Hopf manifolds from the point of view of their analytic and metric structure.
Vaisman manifolds with vanishing first Chern class
Nicolina Istrati
Compact Vaisman manifolds with vanishing first Chern class split into three categories, depending on the sign of the Bott-Chern class. We show that Vaisman manifolds with non-posit…
Bott-Chern cohomology of compact Vaisman manifolds
Nicolina Istrati, Alexandra Otiman
We give an explicit description of the Bott-Chern cohomology groups of a compact Vaisman manifold in terms of the basic cohomology. We infer that the Bott-Chern numbers and the Dol…
Variational problems in conformal geometry
Daniele Angella, Nicolina Istrati, Alexandra Otiman +1
We study the Euler-Lagrange equation for several natural functionals defined on a conformal class of almost Hermitian metrics, whose expression involves the Lee form of the met…
LCK metrics on toric LCS manifolds
Nicolina Istrati
We show a bijective correspondence between compact toric locally conformally symplectic manifolds which admit a compatible complex structure and pairs , where is a good…
Existence Criteria for LCK Metrics
Nicolina Istrati
We investigate the relation between holomorphic torus actions on complex manifolds of LCK type and the existence of special LCK metrics. We show that if the group of biholomorphism…
De Rham and twisted cohomology of Oeljeklaus-Toma manifolds
Nicolina Istrati, Alexandra Otiman
Oeljeklaus-Toma (OT) manifolds are complex non-Kähler manifolds whose construction arises from specific number fields. In this note, we compute their de Rham cohomology in terms of…
A characterisation of toric LCK manifolds
Nicolina Istrati
We prove that a compact toric locally conformally Kähler manifold which is not Kähler admits a toric Vaisman structure, a fact which was conjectured in \cite{mmp}. This is the fina…
Twisted holomorphic symplectic forms
Nicolina Istrati
We show that a compact Kahler manifold admitting a nondegenerate holomorphic 2-form valued in a line bundle is a finite cyclic cover of a hyperkahler manifold. With respect to the…