Almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds with spherical symmetry

作者：Sakovich Anna^*; Sormani Christina

来源：General Relativity and Gravitation, 2017, 49(9): 125.

DOI：10.1007/s10714-017-2291-y

• Asymptotically hyperbolic manifolds
• Positive mass theorem
• Intrinsic flat distance
• Almost rigidity

We use the notion of intrinsic flat distance to address the almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds. In particular, we prove that a sequence of spherically symmetric asymptotically hyperbolic manifolds satisfying the conditions of the positive mass theorem converges to hyperbolic space in the intrinsic flat sense, if the limit of the mass along the sequence is zero.

• 出版日期2017-9