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math.DG2009★ 5 cited
Explicit Quaternionic Contact Structures and Metrics with Special Holonomy
Luis C. de Andres, Marisa Fernandez, Stefan Ivanov +3
We construct explicit left invariant quaternionic contact structures on Lie groups with zero and non-zero torsion, and with non-vanishing quaternionic contact conformal curvature t…
math.DG2007
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…