Quaternionic contact 4n + 3-manifolds and their 4n-quotients
Keyword(s):
AbstractWe study some types of qc-Einstein manifolds with zero qc-scalar curvature introduced by S. Ivanov and D. Vassilev. Secondly, we shall construct a family of quaternionic Hermitian metrics $$(g_a,\{J_\alpha \}_{\alpha =1}^3)$$ ( g a , { J α } α = 1 3 ) on the domain Y of the standard quaternion space $${\mathbb {H}}^n$$ H n one of which, say $$(g_a,J_1)$$ ( g a , J 1 ) is a Bochner flat Kähler metric. To do so, we deform conformally the standard quaternionic contact structure on the domain X of the quaternionic Heisenberg Lie group$${{\mathcal {M}}}$$ M to obtain quaternionic Hermitian metrics on the quotient Y of X by $${\mathbb {R}}^3$$ R 3 .
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1992 ◽
Vol 126
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pp. 89-101
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2018 ◽
Vol 2020
(18)
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pp. 5477-5505
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2004 ◽
Vol 15
(06)
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pp. 531-546
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2017 ◽
Vol 42
(2)
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pp. 169-189
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2018 ◽
Vol 2020
(9)
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pp. 2769-2817
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