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Asymptotically Hyperbolic Manifolds with Small MassPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2014 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 325, no 2, p. 757-801Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

2014. Vol. 325, no 2, p. 757-801
##### National Category

Mathematics
##### Identifiers

URN: urn:nbn:se:kth:diva-102872DOI: 10.1007/s00220-013-1827-6ISI: 000329583800009Scopus ID: 2-s2.0-84891903390OAI: oai:DiVA.org:kth-102872DiVA, id: diva2:557151
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt467",{id:"formSmash:j_idt467",widgetVar:"widget_formSmash_j_idt467",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt473",{id:"formSmash:j_idt473",widgetVar:"widget_formSmash_j_idt473",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt479",{id:"formSmash:j_idt479",widgetVar:"widget_formSmash_j_idt479",multiple:true});
##### Note

##### In thesis

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.

QC 20140205. Updated from manuscript to article in journal.

Available from: 2012-09-27 Created: 2012-09-27 Last updated: 2017-12-07Bibliographically approved1. A study of asymptotically hyperbolic manifolds in mathematical relativity$(function(){PrimeFaces.cw("OverlayPanel","overlay557156",{id:"formSmash:j_idt787:0:j_idt791",widgetVar:"overlay557156",target:"formSmash:j_idt787:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

doi
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