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- W2094365093 abstract "We derive expressions for the Ricci curvature tensor and scalar in terms of intrinsic torsion classes of half-flat manifolds by exploiting the relationship between half-flat manifolds and non-compact $G_2$ holonomy manifolds. Our expressions are tested for Iwasawa and more general nilpotent manifolds. We also derive expressions, in the language of Calabi-Yau moduli spaces, for the torsion classes and the Ricci curvature of the emph{particular} half-flat manifolds that arise naturally via mirror symmetry in flux compactifications. Using these expressions we then derive a constraint on the Kahler moduli space of type II string theories on these half-flat manifolds." @default.
- W2094365093 created "2016-06-24" @default.
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- W2094365093 date "2007-05-04" @default.
- W2094365093 modified "2023-09-26" @default.
- W2094365093 title "The Ricci curvature of half-flat manifolds" @default.
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- W2094365093 doi "https://doi.org/10.1088/1126-6708/2007/05/009" @default.
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