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math.DG2023
A Quasi-Local Mass
Aghil Alaee, Marcus Khuri, Shing-Tung Yau
We define a new gauge independent quasi-local mass and energy, and show its relation to the Brown-York Hamilton-Jacobi analysis. A quasi-local proof of the positivity, based on spa…
math.DG2023★ 1 cited
Spectral Torical Band Inequalities and Generalizations of the Schoen-Yau Black Hole Existence Theorem
Sven Hirsch, Demetre Kazaras, Marcus Khuri +1
Generalized torical band inequalities give precise upper bounds for the width of compact manifolds with boundary in terms of positive pointwise lower bounds for scalar curvature, a…