16 citations · 31 across the 5 of their papers we have counts for
11 papers · 1 filter
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…
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locally conformal Kaehler manifolds, considered as conformal Hermitian manifolds, and we show its equivalence with an unpublished construction given by Biqua…
Cayley 4-frames and a quaternion-Kähler reduction related to Spin(7)
Liviu Ornea, Paolo Piccinni
We describe an action of on that allows to obtain a -quotient of CAYLEY (the Grassmannian of oriented 4-planes in closed under the three-fold c…
Weyl structures on quaternionic manifolds. A state of the art
Liviu Ornea
This is a survey on quaternion Hermitian Weyl (locally conformally quaternion Kähler) and hyperhermitian Weyl (locally conformally hyperkähler) manifolds. These geometries appear b…