Codazzi spinors and globally hyperbolic manifolds with special holonomy
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Publication:2463383
DOI10.1007/s00209-007-0169-5zbMath1139.53023arXiv0704.3725OpenAlexW2591596657WikidataQ125944003 ScholiaQ125944003MaRDI QIDQ2463383
Publication date: 6 December 2007
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0704.3725
Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Issues of holonomy in differential geometry (53C29)
Related Items (8)
ISOMETRIC IMMERSIONS INTO LORENTZIAN PRODUCTS ⋮ The Cauchy problem of Lorentzian minimal surfaces in globally hyperbolic manifolds ⋮ A universal spinor bundle and the Einstein-Dirac-Maxwell equation as a variational theory ⋮ Spinorial characterizations of surfaces into 3-dimensional pseudo-Riemannian space forms ⋮ How to find the holonomy algebra of a Lorentzian manifold ⋮ On the full holonomy group of Lorentzian manifolds ⋮ Cauchy problems for Lorentzian manifolds with special holonomy ⋮ Parallel spinors on globally hyperbolic Lorentzian four-manifolds
Cites Work
- Complete Riemannian manifolds with imaginary Killing spinors
- Odd-dimensional Riemannian manifolds with imaginary Killing spinors
- The spaces of curvature tensors for holonomy algebras of Lorentzian manifolds
- Generalized cylinders in semi-Riemannian and spin geometry
- Geometric and analytic properties of families of hypersurfaces in Eguchi--Hanson space
- On the classification of Lorentzian holonomy groups
- METRICS THAT REALIZE ALL LORENTZIAN HOLONOMY ALGEBRAS
- Codazzi Tensor Fields, Curvature and Pontryagin Forms
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