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@article{2362450,
author = {Galaev, Anton},
article_location = {RUSSIA},
article_number = {4},
doi = {http://dx.doi.org/10.1134/S0037446613040034},
keywords = {pseudo-Riemannian manifold; recurrent spinor field; holonomy algebra},
language = {eng},
issn = {0037-4466},
journal = {SIBERIAN MATHEMATICAL JOURNAL},
title = {Pseudo-Riemannian manifolds with recurrent spinor fields},
volume = {54},
year = {2013}
}
TY - JOUR
ID - 2362450
AU - Galaev, Anton
PY - 2013
TI - Pseudo-Riemannian manifolds with recurrent spinor fields
JF - SIBERIAN MATHEMATICAL JOURNAL
VL - 54
IS - 4
SP - 604-613
EP - 604-613
PB - MAIK NAUKA/INTERPERIODICA/SPRINGER
SN - 00374466
KW - pseudo-Riemannian manifold
KW - recurrent spinor field
KW - holonomy algebra
N2 - The existence of a recurrent spinor field on a pseudo-Riemannian spin manifold (M,g) is closely related to the existence of a parallel 1-dimensional complex subbundle of the spinor bundle of (M,g). We characterize the following simply connected pseudo-Riemannian manifolds that admit these subbundles in terms of their holonomy algebras: Riemannian manifolds, Lorentzian manifolds, pseudo-Riemannian manifolds with irreducible holonomy algebras, and pseudo-Riemannian manifolds of neutral signature admitting two complementary parallel isotropic distributions.
ER -
GALAEV, Anton. Pseudo-Riemannian manifolds with recurrent spinor fields. \textit{SIBERIAN MATHEMATICAL JOURNAL}. RUSSIA: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2013, roč.~54, č.~4, s.~604-613. ISSN~0037-4466. Dostupné z: https://dx.doi.org/10.1134/S0037446613040034.
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