Adapted connections on foliated manifolds

Articles in Press

Document Type : Original Article

Authors

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

Abstract

‎In this study‎, ‎we define the local components of the adapted connection relative to the adapted frame field‎. ‎We also calculate the covariant derivative of a tensor with respect to this connection‎. ‎Furthermore‎, ‎we present a classification of totally geodesic foliations and bundle-like metrics‎, ‎along with the introduction of the local components of the torsion tensor associated with this connection‎. ‎To illustrate our findings‎, ‎we provide a relevant example‎.

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References

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Journal of Finsler Geometry and its Applications

Articles in Press, Accepted Manuscript
Available Online from 16 November 2025

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