Projectively flat cubic (α, β)-metric with constant flag curvature K = 0

Finsler metrics with straight geodesics on an open subset in Rn are thought to be projective. The flag curvature of any projective Finsler metric is known to be a scalar function of tangent vectors (the flag curvature must be a constant if it is Riemannian). We categorize locally projectively flat c...

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Bibliographic Details

Published in:	Surveys in Mathematics and its Applications
Main Authors:	Brijesh Kumar Tripathi, Dhruvisha Patel, V. K. Chaubey
Format:	Article
Language:	English
Published:	University Constantin Brancusi of Targu-Jiu 2024-04-01
Subjects:	finsler space projective change cubic (α β)-metric projective flatness flag curvature
Online Access:	https://www.utgjiu.ro/math/sma/v19/p19_10.pdf