Skip to main content
 

 

 

On generalized Shen's square metric

Author name : AMR SOLIMAN MAHMOUD HASSAN
Publication Date : 2024-09-30
Journal Name : Korean J. Math.

Abstract

In this paper, following the pullback approach to global Finsler geometry, we investigate a coordinate-free study of Shen square metric in a more general
manner. Precisely, for a Finsler metric (M; L) admitting a concurrent π-vector field,
we study some geometric objects associated with Le(x; y) = (L+LB)2 in terms of the
objects of L, where B is the associated 1-form. For example, we find the geodesic spray, Barthel connection and Berwald connection of Le(x; y). Moreover, we calculate the curvature of the Barthel connection of Le. We characterize the non-degeneracy of the metric tensor of Le(x; y)

Keywords

Shen square metric, Canonical spray, Barthel connection, Berwald connection

Publication Link

https://dx.doi.org/10.11568/kjm.2024.32.3.467

Block_researches_list_suggestions

Suggestions to read

“Synthesis and Characterization study of SnO2/α-Fe2O3, In2O3/α-Fe2O3 and ZnO/α-Fe2O3 thin films and its application as transparent conducting electrode in silicon heterojunction solar cell”
Asma Arfaoui
Influence of zinc acetate on HPMC/CMC polymer blend: Investigation of their composites’ structural, optical, and dielectric properties for dielectric capacitor applications
ghallab ahmed ahmed nassar sobhy
Study of the structural, optical and electrical properties of PVA/SA performance by incorporating Al2O3 nanoparticles
ghallab ahmed ahmed nassar sobhy
Characterization and Cytotoxic Assessment of Bis(2-hydroxy-3-carboxyphenyl)methane and Its Nickel(II) Complex
ghallab ahmed ahmed nassar sobhy
Contact