In this paper, we introduced three uniformities ${\mathcal{V}}_G^l$, ${\mathcal{V}}_G^r$ and ${\mathcal{V}}_G$ which are induced in a natural way on a strongly topological gyrogroup $(G,\oplus ,\tau )$. It is mainly proved that (1) each of the three uniformities is compatible with G; (2) if H is a subgyrogroup of G, then ${\mathcal{V}}_{G,H}^l={\mathcal{V}}_H^l$, ${\mathcal{V}}_{G,H}^r={\mathcal{V}}_H^r$ and ${\mathcal{V}}_{G,H}={\mathcal{V}}_H$; (3) if $\{(G_i,{\oplus }_i,{\tau }_i):i\in I\}$ is a family of strongly topological gyrogroups, then ${\mathcal{V}}_G^l={\prod }_{i\in I}{\mathcal{V}}_{G_i}^l,{\mathcal{V}}_G^r={\prod }_{i\in I}{\mathcal{V}}_{G_i}^r$ and ${\mathcal{V}}_G={\prod }_{i\in I}{\mathcal{V}}_{G_i}$, where $G={\prod }_{i\in I}{G}_i$ endowed with the Tychonoff product topology. At the end section, we obtain that every compact strongly topological gyrogroup has property U and every Lindelöf strongly topological gyrogroup has property ω-U.

在本文中，我们介绍了三种均匀性 ${\mathcal{伏}}_G^{升}$, ${\mathcal{伏}}_G^r$ 和 ${\mathcal{伏}}_G$ 在强拓扑陀螺群上以自然方式诱导 $(G,\oplus ,\tau )$. 主要证明了 (1) 三个均匀性中的每一个都与G相容；(2) 若H是G 的一个子陀螺群，则${\mathcal{伏}}_{G,H}^{升}={\mathcal{伏}}_H^{升}$, ${\mathcal{伏}}_{G,H}^r={\mathcal{伏}}_H^r$ 和 ${\mathcal{伏}}_{G,H}={\mathcal{伏}}_H$; (3) 如果$\{(G_{\mathrm{一世}},{\oplus }_{\mathrm{一世}},{\tau }_{\mathrm{一世}})：\mathrm{一世}\in \mathrm{一世}\}$ 是一个强拓扑陀螺群族，那么 ${\mathcal{伏}}_G^{升}={\prod }_{\mathrm{一世}\in \mathrm{一世}}{\mathcal{伏}}_{G_{\mathrm{一世}}}^{升},{\mathcal{伏}}_G^r={\prod }_{\mathrm{一世}\in \mathrm{一世}}{\mathcal{伏}}_{G_{\mathrm{一世}}}^r$ 和 ${\mathcal{伏}}_G={\prod }_{\mathrm{一世}\in \mathrm{一世}}{\mathcal{伏}}_{G_{\mathrm{一世}}}$， 在哪里 $G={\prod }_{\mathrm{一世}\in \mathrm{一世}}{G}_{\mathrm{一世}}$具有 Tychonoff 积拓扑结构。在最后部分，我们得到每个紧致强拓扑陀螺群都有性质U，每个 Lindelöf 强拓扑陀螺群都有性质ω - U。