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4 papers · 2 filters
Do products of compact complex manifolds admit LCK metrics?
Liviu Ornea, Misha Verbitsky, Victor Vuletescu
An LCK (locally conformally Kahler) manifold is a Hermitian manifold which admits a Kahler cover with deck group acting by holomorphic homotheties with respect to the Kahler metric…
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],…
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…
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…