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Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces
Commentarii Mathematici Helvetici ( IF 1.1 ) Pub Date : 2020-04-07 , DOI: 10.4171/cmh/483 Thibault Lefeuvre 1
Commentarii Mathematici Helvetici ( IF 1.1 ) Pub Date : 2020-04-07 , DOI: 10.4171/cmh/483 Thibault Lefeuvre 1
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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:
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。
更新日期:2020-04-07
中文翻译:
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。