7 citations · 21 across the 16 of their papers we have counts for
21 papers
On LCK Geometry of Gauduchon Connections
Giuseppe Barbaro, Alexandra Otiman
It is not a priori clear which of the Gauduchon connections is better suited to LCK and Vaisman manifolds. We thus investigate the geometry of these connections through Einstein pr…
Calabi-Yau locally conformally Kähler manifolds
Giuseppe Barbaro, Alexandra Otiman
We study compact locally conformally Kähler (lcK) manifolds which are Calabi--Yau, in the sense that . First of all, we prove that all the known lcK manifolds which…
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.
Special non-Kähler metrics on Endo-Pajitnov manifolds
Cristian Ciulică, Alexandra Otiman, Miron Stanciu
We investigate the metric and cohomological properties of higher dimensional analogues of Inoue surfaces, that were introduced by Endo and Pajitnov. We provide a solvmanifold struc…
A note on compatibility of special Hermitian structures
Daniele Angella, Alexandra Otiman
We prove that a compact Vaisman manifold cannot admit some type of special Hermitian metrics, such as special -Gauduchon metrics, -Kähler forms, Hermitian-symplectic…
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…
On metric and cohomological properties of Oeljeklaus-Toma manifolds
Danielle Angella, Arturas Dubickas, Alexandra Otiman +1
We study metric and cohomological properties of Oeljeklaus-Toma manifolds. In particular, we describe the structure of the double complex of differential forms and its Bott-Chern c…
Toric Kato manifolds
Nicolina Istrati, Alexandra Otiman, Massimiliano Pontecorvo +1
We introduce and study a special class of Kato manifolds, which we call toric Kato manifolds. Their construction stems from toric geometry, as their universal covers are open subse…
Special Hermitian metrics on Oeljeklaus-Toma manifolds
Alexandra Otiman
Oeljeklaus-Toma (OT) manifolds are higher dimensional analogues of Inoue-Bombieri surfaces and their construction is associated to a finite extension of and a subgroup of u…
Compatibility between non-Kähler structures on complex (nil)manifolds
Liviu Ornea, Alexandra Otiman, Miron Stanciu
We study the interplay between the following types of special non-Kähler Hermitian metrics on compact complex manifolds: it locally conformally Kähler, -Gauduchon, balanced and…
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…
On a class of Kato manifolds
Nicolina Istrati, Alexandra Otiman, Massimiliano Pontecorvo
We revisit Brunella's proof of the fact that Kato surfaces admit locally conformally K\" ahler metrics, and we show that it holds for a large class of higher dimensional complex ma…
Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds
Alexandra Otiman, Matei Toma
We compute the Dolbeault cohomology of geodesically convex domains contained in Cousin groups which satisfy a strong dispersiveness condition. As a consequence we obtain a descript…
A characterization of compact locally conformally hyperkähler manifolds
Liviu Ornea, Alexandra Otiman
We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of the existence of a nondegenerate complex two-form with natural properties. This is…
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…
Cohomologies of locally conformally symplectic manifolds and solvmanifolds
Daniele Angella, Alexandra Otiman, Nicoletta Tardini
We study the Morse-Novikov cohomology and its almost-symplectic counterpart on manifolds admitting locally conformally symplectic structures. More precisely, we introduce lcs cohom…
Morse-Novikov cohomology of locally conformally Kähler surfaces
Alexandra Otiman
We review the properties of the Morse-Novikov cohomology and compute it for all known compact complex surfaces with locally conformally Kähler metrics. We present explicit computat…
Morse-Novikov cohomology of closed one-forms of rank 1
Alexandra Otiman
We discuss the Morse-Novikov cohomology of a compact manifold, associated to a closed one--form whose free abelian group generated by its periods $\langle \int_γη\mid [γ] \in π_1(M…
Darboux-Weinstein theorem for locally conformally symplectic manifolds
Alexandra Otiman, Miron Stanciu
A locally conformally symplectic (LCS) form is an almost symplectic form such that a closed one-form exists with . We present a version of the well-known res…
Locally conformally symplectic bundles
Alexandra Otiman
A locally conformally symplectic (LCS) form is an almost symplectic form such that a closed one-form exists with . A fiber bundle with LCS fiber is…
Currents on locally conformally Kähler manifolds
A. Otiman
We characterize the existence of a locally conformally Kähler metric on a compact complex manifold in terms of currents, adapting the celebrated result of Harvey and Lawson for Käh…