For suitable metrics on the locally symmetric space associated to a maximal representation, we prove inequalities between the length of the boundary and the lengths of orthogeodesics that generalize the classical Basmajian's identity from Teichmueller theory. Any equality characterizes diagonal embeddings.

中文翻译：

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最大表示的 Basmajian 型不等式

对于与最大表示相关的局部对称空间的合适度量，我们证明了边界长度和正测线长度之间的不等式，这些长度从 Teichmueller 理论中概括了经典的 Basmajian 恒等式。任何等式都表征对角线嵌入。