49 citations · 65 across the 13 of their papers we have counts for
13 papers
Twistor and Reflector spaces for paraquaternionic contact manifolds
Stefan Ivanov, Ivan Minchev, Marina Tchomakova
We consider certain fiber bundles over a paraquaternionic contact manifolds, called twistor and reflector spaces, and show that these carry an intrinsic geometric structure that is…
On the existence of local quaternionic contact geometries
Ivan Minchev, Jan Slovák
We exploit the Cartan-Kähler theory to prove the local existence of real analytic quaternionic contact structures for any prescribed values of the respective curvature functions an…
On the equivalence of quaternionic contact structures
Ivan Minchev, Jan Slovák
Following the Cartans's original method of equivalence supported by methods of parabolic geometry, we provide a complete solution for the equivalence problem of quaternionic contac…
Non-umbilical quaternionic contact hypersurfaces in hyper-Kähler manifolds
Stefan Ivanov, Ivan Minchev, Dimiter Vassilev
We show that any compact quaternionic contact (qc) hypersurfaces in a hyper-Kähler manifold which is not totally umbilical has an induced qc structure, locally qc homothetic to the…
Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group
Stefan Ivanov, Ivan Minchev, Dimiter Vassilev
A complete solution to the quaternionic contact Yamabe equation on the qc sphere of dimension as well as on the quaternionic Heisenberg group is given. A uniqueness theorem…
Quaternionic contact hypersurfaces in hyper-Kähler manifolds
Stefan Ivanov, Ivan Minchev, Dimiter Vassilev
We describe explicitly all quaternionic contact hypersurfaces (qc-hypersurfaces) in the flat quaternion space $\Hnn$ and the quaternion projective space. We show that up to a quate…