Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary
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DOI: 10.1088/1361-6382/ac1fd1
Abstract: We prove positive mass theorems for asymptotically hyperbolic and asymptotically locally hyperbolic Riemannian manifolds with black-hole-type boundaries. An interesting global invariant of asymptotically hyperbolic general relativistic initial data sets is the energy-momentum vector m ≡… read more here.
Keywords: conformal boundary; boundary infinity; asymptotically hyperbolic; topology ... See more keywords
Schoenflies solutions of conformal boundary values may fail to be Sobolev
Sign Up to like & getrecommendations! Published in 2019 at "Annales Academiae Scientiarum Fennicae Mathematica"
DOI: 10.5186/aasfm.2019.4441
Abstract: We show that there exist planar Jordan domains $\Omega_1$ and $\Omega_2$ with boundaries of Hausdorff dimension $1$ such that any conformal maps $\varphi_1 \colon \mathbb D \to \Omega_1$ and $\varphi_2 \colon \Omega_2 \to \mathbb D… read more here.
Keywords: conformal boundary; boundary values; schoenflies solutions; solutions conformal ... See more keywords