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math.DG2016
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…
math.DG2014★ 3 cited
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…