Classification of positively curved homogeneous Finsler spaces:a new approach in the even dimensional case
In this paper,we briefly survey the classification of positively curved homogeneous Finsler manifolds.We propose a new method in the even dimensional case,which proves that an even dimensional smooth coset space admits positively curved homogeneous Finsler metrics if and only if it admits positively curved homogeneous Riemannian metrics.
flag curvaturehomogeneous Finsler spaceinvariant Finsler metricpositively curved Finsler manifold
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