TY  - JOUR
T1  - On the Geometry of the Indicatrix Bundle of a Finsler Manifold
AU  - Kadaoui Abbassi, Mohamed Tahar
AU  - Mekrami, Abderrahim
PY  - 2025
DA  - October
Y2  - 2025
DO  - 10.36890/iejg.1676428
JF  - International Electronic Journal of Geometry
JO  - Int. Electron. J. Geom.
PB  - Kazım İlarslan
WT  - DergiPark
SN  - 1307-5624
SP  - 243
EP  - 258
VL  - 18
IS  - 2
LA  - en
AB  - In this paper, we investigate a class of metrics induced by $F$-natural metrics on the indicatrix bundle of a Finsler manifold. This class constitutes a four-parameter family that generalizes the well-known $g$-natural metrics on the unit tangent bundle of a Riemannian manifold. Within this framework, we construct a three-parameter family of contact metric structures whose associated metrics are $F$-natural, and we establish that, in contrast to the Riemannian case —where all such $K$-contact metrics on unit tangent bundles are necessarily Sasakian— the corresponding structures in the Finslerian setting can be $K$-contact without being Sasakian. Furthermore, we provide a characterization of Finsler manifolds with positive constant flag curvature via the existence of $K$-contact structures on their indicatrix bundles.
KW  - Finsler structure
KW  - indicatrix bundle
KW  - $F$-natural metric
KW  - contact structure
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UR  - https://doi.org/10.36890/iejg.1676428
L1  - https://dergipark.org.tr/en/download/article-file/4774784
ER  -