Even dimensional homogeneous Finsler spaces with positive flag curvature
Even dimensional homogeneous Finsler spaces with positive flag curvature
In this paper, we use the technique of Finslerian submersion to deduce a flag curvature formula for homogeneous Finsler spaces.Based on this formula, we give a complete classification of even-dimensional smooth coset spaces G/H admitting G-invariant Finsler metrics with positive flag curvature.It turns out that the classification list coincides with …