Algebraic classification of the Weyl tensor

0376768 - MÚ 2013 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Pravdová, Alena
Algebraic classification of the Weyl tensor.
Proceedings of the International Conference Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012 - (Brandts, J.; Chleboun, J.; Korotov, S.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 224-235. ISBN 978-80-85823-60-8.
[Applications of Mathematics 2012. Prague (CZ), 02.05.2012-05.05.2012]
Grant CEP: GA ČR GAP203/10/0749
Institucionální podpora: RVO:67985840
Klíčová slova: algebraic classification of tensors * Lorentzian manifolds
Kód oboru RIV: BA - Obecná matematika
http://www.math.cas.cz/~am2012/proceedings/contributions/pravdova.pdf

Alignment classification of tensors on Lorentzian manifolds of arbitrary dimension is summarized. This classification scheme is then applied to the case of the Weyl tensor and it is shown that in four dimensions it is equivalent to the well known Petrov classification. The approaches using Bel-Debever criteria and principal null directions of the superenergy tensor are also discussed.
Trvalý link: http://hdl.handle.net/11104/0209086