49 citations · 113 across the 27 of their papers we have counts for
3 papers · 1 filter
Conformal paracontact curvature and the local flatness theorem
Stefan Ivanov, Dimiter Vassilev, Simeon Zamkovoy
A curvature-type tensor invariant called para contact (pc) conformal curvature is defined on a paracontact manifold. It is shown that a paracontact manifold is locally paracontact…
Conformal quaternionic contact curvature and the local sphere theorem
Stefan Ivanov, Dimiter Vassilev
A tensor invariant is defined on a quaternionic contact manifold in terms of the curvature and torsion of the Biquard connection involving derivatives up to third order of the cont…
Extremals for the Sobolev inequality on the seven dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem
Stefan Ivanov, Ivan Minchev, Dimiter Vassilev
A complete solution to the quaternionic contact Yamabe problem on the seven dimensional sphere is given. Extremals for the Sobolev inequality on the seven dimensional Hesenberg gro…