Staff Members - Benha University
A note on “ Sur le noyau de l'operateur de courbure d'une variete finslerienne” [C. R. Acad. Sci. Paris, t. 272 (1971), 807-810]}, Comptes Rendus Mathematique, 351, 21–22, (2013), 829-832. ArXiv: 1305.4498 [math. DG].
• 2013
Publication Information
Authors
Nabil L. Youssef and S. G. Elgendi,
Keywords
Not Available
Journal
Not Available
Publisher
Not Available
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
In this note, adopting the pullback formalism of global Finsler geometry, we show by a
counterexample that the kernel KerR of the h-curvature R of the Cartan connection and
the associated nullity distribution NR do not coincide, contrary to a result of Akbar-Zadeh
(given in the article that appears in the title). We also give sufficient conditions for KerR
and NR to coincide.
counterexample that the kernel KerR of the h-curvature R of the Cartan connection and
the associated nullity distribution NR do not coincide, contrary to a result of Akbar-Zadeh
(given in the article that appears in the title). We also give sufficient conditions for KerR
and NR to coincide.