16 citations · 31 across the 5 of their papers we have counts for
13 papers
CR-submanifolds. A class of examples
Liviu Ornea
I present a class of examples of \CR-submanifolds of manifolds endowed with different structures, obtained as level sets of momentum maps associated to specific Hamiltonian actions…
Locally conformally Kähler manifolds. A selection of results
Liviu Ornea
I present a selection of results on locally conformally Kähler geometry published after 1997. The proofs are mainly sketched, some of them are even omitted. Several open problems a…
Non-zero contact and Sasakian reduction
Oana Drăgulete, Liviu Ornea
We complete the reduction of Sasakian manifolds with the non-zero case by showing that Willett's contact reduced space is compatible with the Sasakian structure. We then prove the…
Immersion theorem for Vaisman manifolds
L. Ornea, M. Verbitsky
A locally conformally Kaehler (LCK) manifold is a complex manifold admitting a Kaehler covering M, with monodromy acting on M by Kaehler homotheties. A compact LCK manifold is Vais…
Locally conformal Kaehler reduction
Rosa Gini, Liviu Ornea, Maurizio Parton
We define reduction of locally conformal Kaehler manifolds, considered as conformal Hermitian manifolds, and we show its equivalence with an unpublished construction given by Biqua…
Cosphere bundle reduction in contact geometry
Oana Dragulete, Liviu Ornea, T. S. Ratiu
We extend the theorems concerning the equivariant symplectic reduction of the cotangent bundle to contact geometry. The role of the cotangent bundle is taken by the cosphere bundle…