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
Alavi, S. S. (2020). On the locally flat Finsler manifolds. Journal of Finsler Geometry and its Applications, 1(2), 115-129. doi: 10.22098/jfga.2020.1245
MLA
Seiedeh Sedigheh Alavi. "On the locally flat Finsler manifolds". Journal of Finsler Geometry and its Applications, 1, 2, 2020, 115-129. doi: 10.22098/jfga.2020.1245
HARVARD
Alavi, S. S. (2020). 'On the locally flat Finsler manifolds', Journal of Finsler Geometry and its Applications, 1(2), pp. 115-129. doi: 10.22098/jfga.2020.1245
VANCOUVER
Alavi, S. S. On the locally flat Finsler manifolds. Journal of Finsler Geometry and its Applications, 2020; 1(2): 115-129. doi: 10.22098/jfga.2020.1245