近似kÄhler finsler流形的一些几何结果

IF 0.5 Q3 MATHEMATICS Facta Universitatis-Series Mathematics and Informatics Pub Date : 2022-08-06 DOI:10.22190/fumi210922020d

A. Dehghan Nezhad, Sareh Beizavi, A. Tayebi

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引用次数: 0

摘要

本工作旨在尝试推广近似Kählerian芬斯勒流形的一些结果。给出了广义$ (a, b， {\bf J})- $流形是弱Landsberg度规的一个条件。进一步，我们找到了近似Kähler Finsler流形具有相对各向同性的Landsberg曲率和相对各向同性的平均Landsberg曲率的条件。

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SOME GEOMETRICAL RESULTS ON NEARLY KÄHLER FINSLER MANIFOLDS

This work is intended as an attempt to extend some results of nearly Kählerian Finsler manifolds. We give a condition to generalized $ (a, b, {\bf J})- $manifolds to be weakly Landsberg metric. Furthermore, we find the conditions under which a nearly Kähler Finsler manifold has relatively isotropic Landsberg curvature and relatively isotropic mean Landsberg curvature.

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Facta Universitatis-Series Mathematics and Informatics MATHEMATICS-

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