47 citations · 324 across the 68 of their papers we have counts for
6 papers · 1 filter
Oeljeklaus-Toma manifolds admitting no complex subvarieties
Liviu Ornea, Misha Verbitsky
The Oeljeklaus-Toma (OT-) manifolds are complex manifolds constructed by Oeljeklaus and Toma from certain number fields, and generalizing the Inoue surfaces . On each OT-manif…
Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length
Andrei Moroianu, Liviu Ornea
Submission was withdrawn by authors. arXiv:math/0305140
Locally conformally Kahler manifolds admitting a holomorphic conformal flow
Liviu Ornea, Misha Verbitsky
A manifold is locally conformally Kahler (LCK) if it admits a Kahler covering with monodromy acting by holomorphic homotheties. Let be an LCK manifold admitting a holomorph…
A report on locally conformally Kähler manifolds
Liviu Ornea, Misha Verbitsky
We present an overview of recent results in locally conformally Kähler geometry, with focus on the topological properties which obstruct the existence of such structures on compact…
Essential points of conformal vector fields
Florin Belgun, Andrei Moroianu, Liviu Ornea
For a conformal vector field on a Riemannian manifold, we say that a point is essential if there is no local metric in the conformal class for which is Killing. We show tha…
Remarks on the product of harmonic forms
Liviu Ornea, Mihaela Pilca
A metric is formal if all products of harmonic forms are again harmonic. The existence of a formal metric implies Sullivan formality of the manifold, and hence formal metrics can e…