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Density Theorems for the Einstein Constraint Equations

Introductory Workshop: Mathematical Relativity September 09, 2013 - September 13, 2013

September 12, 2013 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Lan-Hsuan Huang (University of Connecticut)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

Abstract We will start with a beautiful theorem of Corvino and Schoen which says that the asymptotically flat initial data sets with harmonic asymptotics are dense among general initial data sets. Then we will discuss several generalizations of the density theorem and their applications in the positive mass theorem and the constructions relating to the center of mass and angular momentum.
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