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@inbook{1645936,
author = {Kycia, Radoslaw Antoni and Ulan, Maria},
address = {Cham},
booktitle = {Integrability of geodesics of totally geodesic metrics},
edition = {1},
keywords = {totally geodesic spaces; Riemannian geometry; integrability},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Cham},
isbn = {978-3-030-17030-1},
pages = {267-275},
publisher = {Birkhäuser Basel},
title = {Integrability of geodesics of totally geodesic metrics},
url = {https://www.springer.com/gp/book/9783030170301},
year = {2019}
}
TY - CHAP
ID - 1645936
AU - Kycia, Radoslaw Antoni - Ulan, Maria
PY - 2019
TI - Integrability of geodesics of totally geodesic metrics
VL - Tutorials, Schools, and Workshops in the Mathematical Sciences
PB - Birkhäuser Basel
CY - Cham
SN - 9783030170301
KW - totally geodesic spaces
KW - Riemannian geometry
KW - integrability
UR - https://www.springer.com/gp/book/9783030170301
L2 - https://www.springer.com/gp/book/9783030170301
N2 - Analysis of the geodesics in the space of the signature (1, 3) that splits in two-dimensional distributions resulting from the Weyl tensor eigenspaces—hyperbolic and elliptic ones—described in [V.V. Lychagin, V. Yumaguzhin, Differential invariants and exact solutions of the Einstein equations, Anal. Math. Phys. 1664-235X 1–9 (2016)] is presented. The cases when geodesic equations are integrable are identified. A similar analysis is performed for the model coupled to electromagnetism described in [V.V. Lychagin, V. Yumaguzhi, Differential invariants and exact solutions of the Einstein–Maxwell equation, Anal. Math. Phys. 1, 19–29, (2017)].
ER -
KYCIA, Radoslaw Antoni a Maria ULAN. Integrability of geodesics of totally geodesic metrics. In \textit{Integrability of geodesics of totally geodesic metrics}. 1. vyd. Cham: Birkhäuser Basel, 2019, s.~267-275. Tutorials, Schools, and Workshops in the Mathematical Sciences. ISBN~978-3-030-17030-1.
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