On geodesic mappings in a particular class of Roter spaces

Deszcz, Ryszard; Hotloś, Marian

doi:10.4064/cm7797-1-2021

Cited by 5 publications

(3 citation statements)

References 30 publications

(70 reference statements)

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“…(iii) In [41] a particular class of Roter warped product spaces was determined such that every manifold of that class admits a non-trivial geodesic mapping onto some Roter warped product space. Moreover, both geodesically related manifolds are pseudosymmetric of constant type.…”

Section: Roter Spacesmentioning

confidence: 99%

A Note on Some Generalized Curvature Tensor

Petrović–Torgašev

Deszcz

Głogowska

et al. 2023

International Electronic Journal of Geometry

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Section: Roter Spacesmentioning

confidence: 99%

A Note on Some Generalized Curvature Tensor

Petrović–Torgašev

Deszcz

Głogowska

et al. 2023

International Electronic Journal of Geometry

Self Cite

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“…(iii) In [39] a particular class of Roter warped product spaces was determined such that every manifold of that class admits a non-trivial geodesic mapping onto some Roter warped product space. Moreover, both geodesically related manifolds are pseudosymmetric of constant type.…”

Section: Roter Spacesmentioning

confidence: 99%

A note on some generalized curvature tensor

Deszcz¹,

Głogowska²,

Hotloś³

et al. 2023

Preprint

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“…Eyasmin [15] studied hypersurfaces in a conformally fl at space. Deszcz and Hotloś [16] defi ned and studied the geodesic mappings in a particular class of roter spaces. Deszcz, M. Głogowska, and M. Hotloś [17] studied the OpozdaVerstraelen affi ne curvature tensor on hypersurfaces.…”

Section: Introductionmentioning

confidence: 99%

Study on generalized BK-5th recurrent Finsler space

Adel Mohammed Ali,

Saeedah Mohammed

2023

Comput Math Appl

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In this paper, we present a novel new class and investigate the connection between the K-projective curvature tensor and other tensors of Finsler space Fn, this space is characterized by the property for Cartan’s 4th curvature tensor satisfies the certain relationship with the given covariant vectors field, we define this space as a generalized BK-5th recurrent space and denote it briefly by GBK-5RFn. This paper aims to derive the fifth-order Berwald covariant derivatives of the torsion tensor and the deviation tensor . Additionally, it demonstrates that the curvature vector Kj, the curvature vector Hk, and the curvature scalar H are all non-vanishing within the considered space. We have identified tensors that exhibit self-similarity under specific conditions. Furthermore, we have established the necessary and sufficient conditions for certain tensors in this space to have equal fifth-order Berwald covariant derivatives with their lower-order counterparts.

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On geodesic mappings in a particular class of Roter spaces

Abstract: We determine a particular class of Roter warped product spaces. We show that every manifold of that class admits a non-trivial geodesic mapping onto some Roter warped product space. Moreover, both geodesically related manifolds are pseudosymmetric of constant type.

Cited by 5 publications

References 30 publications

A Note on Some Generalized Curvature Tensor

A Note on Some Generalized Curvature Tensor

A note on some generalized curvature tensor

Study on generalized BK-5th recurrent Finsler space

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