Half-flat structures on decomposable Lie groups
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Publication:430784
DOI10.1007/s00031-011-9168-zzbMath1246.53072arXiv1012.3714OpenAlexW4240730728WikidataQ115389490 ScholiaQ115389490MaRDI QIDQ430784
Marco Freibert, Fabian Schulte-Hengesbach
Publication date: 26 June 2012
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.3714
Differential geometry of homogeneous manifolds (53C30) Issues of holonomy in differential geometry (53C29) Solvable, nilpotent (super)algebras (17B30)
Related Items (9)
Closed forms and multi-moment maps ⋮ Cocalibrated \(\mathrm G_2\)-structures on products of four- and three-dimensional Lie groups ⋮ Half-flat structures on indecomposable Lie groups ⋮ Compact solvmanifolds with calibrated and cocalibrated \(\mathrm{G}_2\)-structures ⋮ Six dimensional homogeneous spaces with holomorphically trivial canonical bundle ⋮ Symplectic half-flat solvmanifolds ⋮ Homogeneous symplectic half-flat 6-manifolds ⋮ Closed \(\operatorname{G}_2\)-eigenforms and exact \(\operatorname{G}_2\)-structures ⋮ Half-flat structures inducing Einstein metrics on homogeneous spaces
Cites Work
- Heterotic string compactifications on half-flat manifolds II
- Solvable Lie algebras are not that hypo
- Half-flat nilmanifolds
- Curvatures of left invariant metrics on Lie groups
- The geometry of three-forms in six dimensions.
- Mirror symmetry in generalized Calabi-Yau compactifications
- Half-flat structures on products of three-dimensional Lie groups
- Product structures on four dimensional solvable Lie algebras
- Jordan-Hölder theorem for imprimitivity systems and maximal decompositions of rational functions
- Generalized Killing spinors in dimension 5
- Invariants of real low dimension Lie algebras
- Nearly pseudo-K\"ahler and nearly para-K\"ahler six-manifolds
- Complex structures on nilpotent Lie algebras
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