FINSLER流形上的非光滑分析(Ⅰ)

NONSMOOTH ANALYSIS ON FINSLER MANIFOLD (Ⅰ)

本文应用微分几何、微分拓扑中关于微分流形和纤维丛的基本理论有效地将Banach空间的非光滑分析的基本理论推广到Finsler流形上,它也可以看成是Finsler流形上可微函数理论的推广。

In this paper the basic theory on differentiate manifold and fibre bundle in differential Geometry and differential topology are used to generalize the basic theory of Nonsmooth Analysis on Banach Spale to the case of Finsler manifold. It can be considered as the generalization of differentiable function theory on Finsler manifold.