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math.DG2021
A Minkowski-type inequality in the AdS-Melvin space
Daniel Xia, Pei-Ken Hung
The AdS-Melvin spacetime was introduced by Astorino and models the AdS soliton with electromagnetic charge. It is a static spacetime with a time-symmetric Cauchy hypersurface, whic…
math.PR2021
Determinantal structures for Bessel fields
Lucas Benigni, Pei-Ken Hung, Xuan Wu
A Bessel field is a two-variable random field such that for every , has the law of a…
math.DG2021
A Minkowski inequality for Horowitz-Myers geon
Aghil Alaee, Pei-Ken Hung
We prove a sharp inequality for toroidal hypersurfaces in three and four dimensional Horowitz-Myers geon. This extend previous results on Minkowski inequality in the static spaceti…