On the locally flat Finsler manifolds

Document Type : Original Article

Author

Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. Email: sedighehalavi54@gmail.com

Abstract

It is proved that every locally flat Finsler manifold is a locally flat Riemannian manifold. Some low dimensional locally Finsler manifolds are classified. It is also proved that in a categorical sense, there is a correspondence between locally flat Finsler manifolds and locally hessian Riemannian manifolds

Keywords

References

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Journal of Finsler Geometry and its Applications
Volume 1, Issue 2
December 2020
Pages 115-129

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