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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.DG2010
Submanifolds in manifolds with metric mixed 3-structures
Stere Ianus, Liviu Ornea, Gabriel Eduard Vilcu
Mixed 3-structures are odd-dimensional analogues of paraquaternionic structures. They appear naturally on lightlike hypersurfaces of almost paraquaternionic hermitian manifolds. We…
math.DG2009★ 29 cited
Twistor Theory for CR quaternionic manifolds and related structures
S. Marchiafava, L. Ornea, R. Pantilie
In a general and non metrical framework, we introduce the class of CR quaternionic manifolds containing the class of quaternionic manifolds, whilst in dimension three it particular…