Based on our deep understanding on the essential relationships between the Zermelo navigation problems and the geometries of indicatrix on Finsler manifolds, we study navigation problems on conic Kropina manifolds. For a conic Kropina metric $F(x,y)$ and a vector field V with $F(x,-V_x)\le 1$ on an n-dimensional manifold M, let $\tilde{F}=\tilde{F}(x,y)$ be the solution of the navigation problem with navigation data $(F,V)$. We prove that $\tilde{F}$ must be either a Randers metric or a Kropina metric. Then we establish the relationships between some curvature properties of F and the corresponding properties of $\tilde{F}$ when V is a conformal vector field on $(M,F)$, which involve S-curvature, flag curvature and Ricci curvature.

基于我们对Zermelo导航问题与Finsler流形上的tri形几何之间的基本关系的深刻理解，我们研究了圆锥Kropina流形上的导航问题。对于圆锥Kropina度量$F（X，ÿ）$和矢量场V与$F（X，-V_X）\le \mathrm{1个}$在n维流形M上，令$\stackrel{〜}{F}=\stackrel{〜}{F}（X，ÿ）$ 用导航数据解决导航问题 $（F，V）$。我们证明$\stackrel{〜}{F}$必须是Randers指标或Kropina指标。然后我们建立F的某些曲率特性与F的相应特性之间的关系$\stackrel{〜}{F}$当V是上的保形向量场时$（\mathrm{中号}，F）$，其中包括S曲率，标志曲率和Ricci曲率。