REDUCED HOLONOMY, HYPERSURFACES AND EXTENSIONS
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Publication:3426878
DOI10.1142/S021988780600148XzbMath1116.53031MaRDI QIDQ3426878
Publication date: 13 March 2007
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Exterior differential systems (Cartan theory) (58A15) Issues of holonomy in differential geometry (53C29)
Related Items (9)
A spinorial energy functional: critical points and gradient flow ⋮ The Cauchy problems for Einstein metrics and parallel spinors ⋮ Quaternionic Heisenberg groups as naturally reductive homogeneous spaces ⋮ Generalized Killing spinors on spheres ⋮ Spinorial description of \(\mathrm{SU}(3)\)- and \(\mathrm{G}_2\)-manifolds ⋮ Invariant spinors on homogeneous spheres ⋮ Generalizations of 3-Sasakian manifolds and skew torsion ⋮ Gauge theory and \(\mathrm{G}_2\)-geometry on Calabi-Yau links ⋮ Generalized Killing spinors on Einstein manifolds
Cites Work
- Parallel spinors and parallel forms
- On the spinor representation of surfaces in Euclidean \(3\)-space
- Calibrated embeddings in the special Lagrangian and coassociative cases
- Generalized cylinders in semi-Riemannian and spin geometry
- Real Killing spinors and holonomy
- Some remarks on the Hijazi inequality and generalizations of the Killing equation for spinors
- Complex structures on nilpotent Lie algebras
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