On projective symmetries on Finsler spaces

نویسندگان

چکیده

There are two definitions of Einstein-Finsler spaces introduced by Akbar-Zadeh, which we will show is equal along the integral curves $I$-invariant projective vector fields. The sub-algebra $C$-projective fields, leaving $H$-curvature invariant, has been studied extensively. Here on a closed Finsler space with negative definite Ricci curvature reduces to that Killing Moreover, if an admits such field then flag constant. Finally, classification compact isotropic mean Landsberg manifolds admitting certain fields obtained respect sign curvature.

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ژورنال

عنوان ژورنال: Differential Geometry and Its Applications

سال: 2021

ISSN: ['1872-6984', '0926-2245']

DOI: https://doi.org/10.1016/j.difgeo.2021.101763