10 citations · 10 across the 4 of their papers we have counts for
4 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…
Conformal paraquaternionic contact curvature and the local flatness theorem
Stefan Ivanov, Marina Tchomakova, Simeon Zamkovoy
A tensor invariant is defined on a paraquaternionic contact manifold in terms of the curvature and torsion of the canonical paraquaternionic connection involving derivatives up to…
Geometry of paraquaternionic contact structures
Marina Tchomakova, Stefan Ivanov, Simeon Zamkovoy
We introduce the notion of paraquaternionic contact structures (pqc structures), which turns out to be a generalization of the para 3-Sasakian geometry. We derive a distinguished l…
Quaternionic contact Einstein manifolds
S. Ivanov, I. Minchev, D. Vassilev
The main result is that the qc-scalar curvature of a seven dimensional quaternionic contact Einstein manifold is a constant. In addition, we characterize qc-Einstein structures wit…