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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
العودة
معلومات البحث
المؤلفون Nabil L. Youssef and S. G. Elgendi,
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publication.type International
رابط البحث Open Link
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الملخص
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.