Cauchy problems for Lorentzian manifolds with special holonomy

DOI10.1016/j.difgeo.2015.11.007zbMath1339.53067arXiv1411.3059OpenAlexW2238118744WikidataQ115355787 ScholiaQ115355787MaRDI QIDQ5964088

Andree Lischewski, Thomas Leistner, Helga Baum

Publication date: 26 February 2016

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3059

zbMATH Keywords

Cauchy problemparallel spinorsLorentzian manifoldsgeneralised Killing spinorsparallel null vectors

Mathematics Subject Classification ID

Related Items (6)

Parallel spinor flows on three-dimensional Cauchy hypersurfaces ⋮ Supersymmetric Kundt four manifolds and their spinorial evolution flows ⋮ Contact metric three manifolds and Lorentzian geometry with torsion in six-dimensional supergravity ⋮ Hyperbolic evolution equations, Lorentzian holonomy, and Riemannian generalised Killing spinors ⋮ Construction of initial data sets for Lorentzian manifolds with lightlike parallel spinors ⋮ Parallel spinors on globally hyperbolic Lorentzian four-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized Killing spinors on spheres
• Wave equations on Lorentzian manifolds and quantization.
• Complete Riemannian manifolds with imaginary Killing spinors
• The twistor equation in Lorentzian spin geometry
• Generalized cylinders in semi-Riemannian and spin geometry
• Harmonic spinors
• On the classification of Lorentzian holonomy groups
• The Cauchy problems for Einstein metrics and parallel spinors
• Codazzi spinors and globally hyperbolic manifolds with special holonomy
• On smooth Cauchy hypersurfaces and Geroch's splitting theorem
• Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
• Nonembedding and nonextension results in special holonomy
• METRICS THAT REALIZE ALL LORENTZIAN HOLONOMY ALGEBRAS
• Hypersurfaces of Einstein manifolds
• Breaking the sanserifM-waves

This page was built for publication: Cauchy problems for Lorentzian manifolds with special holonomy