Applying the techniques developed in [1], we construct new real hyperbolic manifolds whose underlying topology is that of a disc bundle over a closed orientable surface. By the Gromov–Lawson–Thurston conjecture [6], such bundles $M \to S$ should satisfy the inequality $|eM/\chi S|\leq 1$, where $eM$ stands for the Euler number of the bundle and $\chi S$, for the Euler characteristic of the surface. In this paper, we construct new examples that provide a maximal value of $|eM/\chi S|=\frac[3][5]$ among all known examples. The former maximum, belonging to Feng Luo [10], was $|eM/\chi S|=\frac[1][2]$.

中文翻译：

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表面上有几个真正的双曲圆盘束

应用在[1]中开发的技术，我们构造了新的实际双曲流形，其基础拓扑是在封闭的可定向表面上的圆盘束的拓扑。由Gromov–Lawson–Thurston猜想[6]，这样的束$ M \ to S $应该满足不等式$ | eM / \ chi S | \ leq 1 $，其中$ eM $代表束的欧拉数，而$ \ chi S $，表示曲面的欧拉特征。在本文中，我们构造了新的示例，这些示例在所有已知示例中提供了最大值|| eM / \ chi S | = \ frac [3] [5] $。属于Feng Luo [10]的前一个最大值是$ | eM / \ chi S | = \ frac [1] [2] $。