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@article{1820259,
author = {Dikarev, Andrei and Galaev, Anton S.},
article_number = {1},
doi = {http://dx.doi.org/10.1007/s00605-021-01569-x},
keywords = {Weyl connection; Weighted spinor; Parallel spinor; Holonomy group; Einstein-Weyl structure},
language = {eng},
issn = {0026-9255},
journal = {Monatshefte für Mathematik},
title = {Parallel spinors on Lorentzian Weyl spaces},
url = {https://link.springer.com/article/10.1007%2Fs00605-021-01569-x},
volume = {196},
year = {2021}
}
TY - JOUR
ID - 1820259
AU - Dikarev, Andrei - Galaev, Anton S.
PY - 2021
TI - Parallel spinors on Lorentzian Weyl spaces
JF - Monatshefte für Mathematik
VL - 196
IS - 1
SP - 39-58
EP - 39-58
PB - Springer
SN - 00269255
KW - Weyl connection
KW - Weighted spinor
KW - Parallel spinor
KW - Holonomy group
KW - Einstein-Weyl structure
UR - https://link.springer.com/article/10.1007%2Fs00605-021-01569-x
N2 - 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.
ER -
DIKAREV, Andrei a Anton S. GALAEV. Parallel spinors on Lorentzian Weyl spaces. \textit{Monatshefte für Mathematik}. Springer, 2021, roč.~196, č.~1, s.~39-58. ISSN~0026-9255. Dostupné z: https://dx.doi.org/10.1007/s00605-021-01569-x.
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