Aubin’s Lemma for the Yamabe constants of infinite coverings and a positive mass theorem

2011 ◽  
Vol 352 (4) ◽  
pp. 829-864
Author(s):  
Kazuo Akutagawa
Author(s):  
Anna Sakovich

AbstractWe solve the Jang equation with respect to asymptotically hyperbolic “hyperboloidal” initial data. The results are applied to give a non-spinor proof of the positive mass theorem in the asymptotically hyperbolic setting. This work focuses on the case when the spatial dimension is equal to three.


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