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\({\mathrm {SU}}(4)\)-holonomy via the left-invariant hypo and Hitchin flow - MaRDI portal

\({\mathrm {SU}}(4)\)-holonomy via the left-invariant hypo and Hitchin flow (Q1663345)

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\({\mathrm {SU}}(4)\)-holonomy via the left-invariant hypo and Hitchin flow
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    \({\mathrm {SU}}(4)\)-holonomy via the left-invariant hypo and Hitchin flow (English)
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    21 August 2018
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    The so-called Hitchin and hypo flows that play an important role in eight-dimensional Riemannian geometry are studied. The main result is the complete classification of hypo \(\mathrm{SU}(3)\)-structures with particular intrinsic torsion on Lie algebras.
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    Hitchin flow
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    hypo flow
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    Lie algebra
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    hypo \(\mathrm{SU}(3)\)-structure
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    \(\mathrm{Sp}(2)\)-holonomy
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    intrinsic torsion
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    Riemannian metric
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