Geodesic
On projectively flat Finsler space with a cubic (α, β) metric
Filomat, Tome 37 (2023) no. 26, p. 8975

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In the present paper, we have considered a cubic (α, β) metric which is an special class of p-power Finsler metric, and obtained the conditions under which the Finsler space with such special metric will be projectively flat. Further, we also obtain in which case this Finsler space will be a Berwald space and Douglas space.
DOI : 10.2298/FIL2326975T
Classification : 53B40, 53C60
Keywords: (α, β)-metric, p-power Finsler metric, Projective flatness, Berwald space, Douglas space 
Brijesh Kumar Tripathi; Sadika Khan; V K Chaubey. On projectively flat Finsler space with a cubic (α, β) metric. Filomat, Tome 37 (2023) no. 26, p. 8975 . doi: 10.2298/FIL2326975T
@article{10_2298_FIL2326975T,
     author = {Brijesh Kumar Tripathi and Sadika Khan and V K Chaubey},
     title = {On projectively flat {Finsler} space with a cubic (\ensuremath{\alpha}, \ensuremath{\beta}) metric},
     journal = {Filomat},
     pages = {8975 },
     year = {2023},
     volume = {37},
     number = {26},
     doi = {10.2298/FIL2326975T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2326975T/}
}
TY  - JOUR
AU  - Brijesh Kumar Tripathi
AU  - Sadika Khan
AU  - V K Chaubey
TI  - On projectively flat Finsler space with a cubic (α, β) metric
JO  - Filomat
PY  - 2023
SP  - 8975 
VL  - 37
IS  - 26
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2326975T/
DO  - 10.2298/FIL2326975T
LA  - en
ID  - 10_2298_FIL2326975T
ER  - 
%0 Journal Article
%A Brijesh Kumar Tripathi
%A Sadika Khan
%A V K Chaubey
%T On projectively flat Finsler space with a cubic (α, β) metric
%J Filomat
%D 2023
%P 8975 
%V 37
%N 26
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2326975T/
%R 10.2298/FIL2326975T
%G en
%F 10_2298_FIL2326975T

Cité par Sources :