Asymptotically Hyperbolic Manifolds with Small Mass
2014 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 325, no 2, 757-801 p.Article in journal (Refereed) Published
For asymptotically hyperbolic manifolds of dimension n with scalar curvature at least equal to -n(n - 1) the conjectured positive mass theorem states that the mass is non-negative, and vanishes only if the manifold is isometric to hyperbolic space. In this paper we study asymptotically hyperbolic manifolds which are also conformally hyperbolic outside a ball of fixed radius, and for which the positive mass theorem holds. For such manifolds we show that the conformal factor tends to one as the mass tends to zero.
Place, publisher, year, edition, pages
2014. Vol. 325, no 2, 757-801 p.
IdentifiersURN: urn:nbn:se:kth:diva-102872DOI: 10.1007/s00220-013-1827-6ISI: 000329583800009ScopusID: 2-s2.0-84891903390OAI: oai:DiVA.org:kth-102872DiVA: diva2:557151
QC 20140205. Updated from manuscript to article in journal.2012-09-272012-09-272014-10-06Bibliographically approved