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Mathematical Physics Seminar (309 VAN) - Associate Professor Hao Fang; Department of Mathematics, University of Iowa
Feb 21, 2023
02:30 PM - 03:30 PM
30 North Dubuque Street, Iowa City, IA 52242
A a non-linear conformal quasi-local mass in asymptotically hyperbolic spaces and its extensions
Associate Professor Hao Fang; Department of Mathematics, University of Iowa
This is a joint work with Wei Wei. For asymptotically hyperbolic 4-disc with a conformal metric, we define a quasi-local mass that corresponds to a new type of energy density and establish a mass-type inequality and the corresponding Penrose inequality. We will also discuss extensions to general dimensions from a mathematical point of view.
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