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Alavi, Seiedeh Sedigheh. (1399). On the locally flat Finsler manifolds. سامانه مدیریت نشریات علمی, 1(2), 115-129. doi: 10.22098/jfga.2020.1245
Seiedeh Sedigheh Alavi. "On the locally flat Finsler manifolds". سامانه مدیریت نشریات علمی, 1, 2, 1399, 115-129. doi: 10.22098/jfga.2020.1245
Alavi, Seiedeh Sedigheh. (1399). 'On the locally flat Finsler manifolds', سامانه مدیریت نشریات علمی, 1(2), pp. 115-129. doi: 10.22098/jfga.2020.1245
Alavi, Seiedeh Sedigheh. On the locally flat Finsler manifolds. سامانه مدیریت نشریات علمی, 1399; 1(2): 115-129. doi: 10.22098/jfga.2020.1245

On the locally flat Finsler manifolds

Journal of Finsler Geometry and its Applications
دوره 1، شماره 2، اسفند 2020، صفحه 115-129    اصل مقاله (101.81 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2020.1245
نویسنده
Seiedeh Sedigheh Alavi*
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. Email: sedighehalavi54@gmail.com
چکیده
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
کلیدواژه‌ها
Locally flat manifolds؛ Finsler metric؛ Bieberbach groups؛ fourth root metric
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