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math.DG2018
A conclusive theorem on Finsler metrics of sectional flag curvature
Libing Huang, Zhongmin Shen
If the flag curvature of a Finsler manifold reduces to sectional curvature, then locally either the Finsler metric is Riemannian, or the flag curvature is isotropic.
math.DG2018
Affine vector fields on Finsle manifolds
Libing Huang, Qiong Xue
We give characterizations of affine transformations and affine vector fields in terms of the spray. By utilizing the Jacobi type equation that characterizes affine vector fields, w…