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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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