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20022024
most citedExperimentally Witnessing the Quantumness of Correlations

97 citations

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6 papers · 1 filter

math.DG2024★ 1 cited

Balanced metrics and Gauduchon cone of locally conformally Kahler manifolds

Liviu Ornea, Misha Verbitsky

A complex Hermitian -manifold is called locally conformally Kahler (LCK) if , where is a closed 1-form, balanced if is closed, and SKT if $…

math.DG2022

Special Hermitian structures on suspensions

Anna Fino, Gueo Grantcharov, Misha Verbitsky

Motivated by the construction based on topological suspension of a family of compact non-Kähler complex manifolds with trivial canonical bundle given by L. Qin and B. Wang in [QW],…

math.DG2022★ 1 cited

Complex curves in hypercomplex nilmanifolds with H-solvable Lie algebras

Yulia Gorginyan

An operator on a real Lie algebra is called a complex structure operator if and the -eigenspace is a Lie subalgebra in the complexification o…

math.DG2022★ 9 cited

Non-linear Hopf manifolds are locally conformally Kahler

Liviu Ornea, Misha Verbitsky

A Hopf manifold is a quotient of by the cyclic group generated by a holomorphic contraction. Hopf manifolds are diffeomorphic to and hence do…

math.DG2021★ 1 cited

Closed orbits of Reeb fields on Sasakian manifolds and elliptic curves on Vaisman manifolds

Liviu Ornea, Misha Verbitsky

A compact complex manifold is called Vaisman if it admits an Hermitian metric which is conformal to a Kähler one, and a non-isometric conformal action by . It is cal…

math.DG2003

Geometrical versus Topological Properties of Manifolds

Carlos Matheus, Krerley Oliveira

Given a compact -dimensional immersed Riemannian manifold in some Euclidean space we prove that if the Hausdorff dimension of the singular set of the Gauss map is small, t…