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Finslerian Lie derivative and Landsberg manifolds

Kertész, Dávid Csaba (2015) Finslerian Lie derivative and Landsberg manifolds. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (2). pp. 297-308. ISSN 0866-0174

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Abstract

In this paper we take a close look at Lie derivatives on a Finsler bundle and give a geometric meaning to the vanishing of the mixed curvature of certain covariant derivatives on a Finsler bundle. As an application, we obtain some characterizations of Landsberg manifolds.

Item Type: Article
Uncontrolled Keywords: Lie derivative, parallel translation, mixed curvature, Finsler bundle, Landsberg manifold
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 06 Feb 2024 09:35
Last Modified: 06 Feb 2024 09:35
URI: http://real.mtak.hu/id/eprint/187640

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