Algebraic classification of the Weyl tensor

0376768 - MÚ 2013 RIV CZ eng C - Conference Paper (international conference)
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]
R&D Projects: GA ČR GAP203/10/0749
Institutional support: RVO:67985840
Keywords : algebraic classification of tensors * Lorentzian manifolds
Subject RIV: BA - General Mathematics
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.
Permanent Link: http://hdl.handle.net/11104/0209086