scholarly journals A note on the positive mass theorem with boundary

2021 ◽  
Vol 111 (4) ◽  
Author(s):  
Gregory J. Galloway ◽  
Dan A. Lee
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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