论文标题
KählerFinsler歧管，曲线从下方界定
Kähler Finsler manifolds with curvatures bounded from below
论文作者
论文摘要
我们获得了KählerFinsler歧管上复杂结构的部分并行性。作为应用，我们证明了Synge-tsukamoto定理和引擎盖 - 明年定理，用于正面弯曲的KählerFinsler歧管。此外，我们通过将正交RICCI曲率的概念引入KählerFinsler几何形状，从而概括了由于Ni-Zheng引起的比较定理。
We obtain a partial parallelism of the complex structure on Kähler Finsler manifolds. As applications, we prove Synge-Tsukamoto theorem and Bonnet-Myers theorem for positively curved Kähler Finsler manifolds. Moreover, we generalize a comparison theorem due to Ni-Zheng by introducing the notion of orthogonal Ricci curvature to Kähler Finsler geometry.
