Publication details

Parallel spinors on Lorentzian Weyl spaces

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.
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