Algebraic classification of the Weyl tensor : selected applications

0376778 - MÚ 2013 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Pravda, Vojtěch
Algebraic classification of the Weyl tensor : selected applications.
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. 214-223. 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: Einstein spacetimes * algebraic classification
Kód oboru RIV: BA - Obecná matematika
http://www.math.cas.cz/~am2012/proceedings/contributions/pravda.pdf

Selected applications of the algebraic classification of tensors on Lorentzian manifolds of arbitrary dimension are discussed. We clarify some aspects of the relationship between invariants of tensors and their algebraic class, discuss generalization of Newman-Penrose and Geroch-Held-Penrose formalisms to arbitrary dimension and study an application of the algebraic classification to the case of quadratic gravity.
Trvalý link: http://hdl.handle.net/11104/0209094