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- W2085263489 abstract "An SKT metric is a Hermitian metric on a complex manifold whose fundamental 2-form ω satisfies $${partial overline{partial} omega=0}$$ . Streets and Tian introduced in Streets and Tian (Int Math Res Not IMRN 16:3101–3133, 2010) a Ricci-type flow that preserves the SKT condition. This flow uses the Ricci form associated to the Bismut connection, the unique Hermitian connection with totally skew-symmetric torsion, instead of the Levi-Civita connection. A SKT metric is called static if the (1, 1)-part of the Ricci form of the Bismut connection satisfies (ρ B )(1, 1) = λω for some real constant λ. We study invariant static metrics on simply connected Lie groups, providing in particular a classification in dimension 4 and constructing new examples, both compact and non-compact, of static metrics in any dimension." @default.
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- W2085263489 date "2012-06-16" @default.
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- W2085263489 title "Static SKT metrics on Lie groups" @default.
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- W2085263489 doi "https://doi.org/10.1007/s00229-012-0552-3" @default.
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