University of Connecticut

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Analysis Learning Seminar
Title: Asymptotically hyperbolic manifolds in General Relativity
Hyun Jang

Friday, February 22, 2019
3:30pm – 4:30pm

Storrs Campus
MONT 313

Abstract: The notion of asymptotically hyperbolic manifolds arises largely from two different contexts: as a compactifiable manifold by conformal deformation (like the Poincarè ball), or as an initial data set in general relativity (like a hyperboloid in the Minkowski space). This talk will mainly focus on the latter case. Beginning with the Einstein Field Equations, I am going to introduce an initial data set, Einstein constraint equations, and how the concept of asymptotically hyperbolic manifolds arises naturally. From there, I will talk about the positive mass theorem for asymptotically hyperbolic manifolds, and relevant result of the joint work with Huang and Martin, which concerns about the rigidity property of the mass.

I will also briefly mention the context of conformally compactifiable manifolds and some interesting results.


Murat Akman ( and Vyron Vellis (

Analysis Learning Seminar (primary), UConn Master Calendar

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