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math.DG2019
The Axiom of Spheres in Finsler Geometry
M. Sedaghat, B. Bidabad
Here, an axiom of spheres in Finsler geometry is proposed and it is proved that if a Finslerian manifold satisfies the axiom of spheres then it is of constant flag curvature.
math.DG2019
Harmonic vector fields and the Hodge Laplacian operator on Finsler geometry
M. Ahmad Mirshafeazadeh, B. Bidabad
We first present the natural definitions of the horizontal differential, the divergence (as an adjoint operator), and a -harmonic form on a Finsler manifold. Next, we prove a Ho…