Given a non-positively curved cube complex $X$, we prove that the quotient of ${\pi }_{1}X$ defined by a cubical presentation $⟨X\mid Y_1,\cdots ,Y_s⟩$ satisfying sufficient non-metric cubical small-cancellation conditions is hyperbolic provided that ${\pi }_{1}X$ is hyperbolic. This generalises the fact that finitely presented classical $C(7)$ small-cancellation groups are hyperbolic.

中文翻译：

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非度量三次小抵消中的双曲性

给定一个非正弯曲的立方体复合体$X$，我们证明了商${\pi }_{1}X$由立方体表示定义$⟨X\mid {是}_1,\cdots ,{是}_s⟩$满足足够的非度量立方小抵消条件是双曲线的，前提是${\pi }_{1}X$是双曲线的。这概括了这样一个事实：有限地呈现经典$C(7）$小抵消群是双曲线的。