Parallel spinors on Lorentzian Weyl spaces

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Authors	DIKAREV Andrei GALAEV Anton S.
Year of publication	2021
Type	Article in Periodical
Magazine / Source	Monatshefte für Mathematik
MU Faculty or unit	Faculty of Science
Citation
Web	https://link.springer.com/article/10.1007%2Fs00605-021-01569-x
Doi	http://dx.doi.org/10.1007/s00605-021-01569-x
Keywords	Weyl connection; Weighted spinor; Parallel spinor; Holonomy group; Einstein-Weyl structure
Description	Holonomy algebras of Lorentzian Weyl spin manifolds with weighted parallel spinors are found. For Lorentzian Weyl manifolds admitting recurrent null vector fields are introduced special local coordinates similar to Kundt and Walker ones. Using that, the local form of all Lorentzian Weyl spin manifolds with weighted parallel spinors is given. The Einstein-Weyl equation for the obtained Weyl structures is analyzed and examples of Einstein-Weyl spaces with weighted parallel spinors are given.
Related projects:	Matematické struktury 10