In the spirit of Otal and Croke, we prove that a negatively-curved asymptotically hyperbolic surface is boundary distance rigid, where the distance between two points on the boundary at infinity is defined by a renormalized quantity.

中文翻译：

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负弯曲渐近双曲曲面的边界刚度

本着 Otal 和 Croke 的精神，我们证明了负弯曲的渐近双曲曲面是边界距离刚性的，其中无穷远边界上两点之间的距离由重整化量定义。