On seven-dimensional quaternionic contact solvable Lie groups
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AbstractWe answer in the affirmative a question posed by Ivanov and Vassilev on the existence of a seven-dimensional quaternionic contact manifold with closed fundamental 4-form and non-vanishing torsion endomorphism. Moreover, we show an approach to the classification of seven-dimensional solvable Lie groups having an integrable left invariant quaternionic contact structure. In particular, we prove that the unique seven-dimensional nilpotent Lie group admitting such a structure is the quaternionic Heisenberg group.
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1985 ◽
Vol 38
(1)
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pp. 55-64
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2013 ◽
Vol 65
(1)
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pp. 66-81
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2007 ◽
Vol 18
(07)
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pp. 783-795
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1991 ◽
Vol 123
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pp. 103-117
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2020 ◽
Vol 58
(4)
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pp. 477-496