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Cauchy problems for Lorentzian manifolds with special holonomy

  • Published:2016-04 Issue: Volume:45 Page:43-66
  • ISSN:0926-2245
  • Container-title:Differential Geometry and its Applications
  • language:en
  • Short-container-title:Differential Geometry and its Applications

Author:

Baum Helga,Leistner Thomas,Lischewski Andree

Funder

Australian Research Council

German Research Foundation

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Geometry and Topology,Analysis

Reference31 articles.

1. The Cauchy problems for Einstein metrics and parallel spinors;Ammann;Commun. Math. Phys.,2013

2. Spin-Strukturen und Dirac-Operatoren über pseudoriemannschen Mannigfaltigkeiten;Baum,1981

3. Complete Riemannian manifolds with imaginary Killing spinors;Baum;Ann. Glob. Anal. Geom.,1989

4. Twistor spinors on Lorentzian manifolds, CR-geometry and Fefferman spaces;Baum,1999

5. Conformal Killing spinors and the holonomy problem in Lorentzian geometry—a survey of new results;Baum,2008

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1. Killing spinors and hypersurfaces;International Journal of Mathematics;2024-05-21

2. Supersymmetric Kundt four manifolds and their spinorial evolution flows;Letters in Mathematical Physics;2023-10-09

3. Parallel spinor flows on three-dimensional Cauchy hypersurfaces;Journal of Physics A: Mathematical and Theoretical;2023-04-25

4. Parallel spinors on globally hyperbolic Lorentzian four-manifolds;Annals of Global Analysis and Geometry;2021-11-03

5. Construction of Initial Data Sets for Lorentzian Manifolds with Lightlike Parallel Spinors;Communications in Mathematical Physics;2021-08-03
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