6 citations · 17 across the 9 of their papers we have counts for
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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…
Rigid comparison geometry for Riemannian bands and open incomplete manifolds
Sven Hirsch, Demetre Kazaras, Marcus Khuri +1
Comparison theorems are foundational to our understanding of the geometric features implied by various curvature constraints. This paper considers manifolds with a positive lower b…
Spacetime Harmonic Functions and Applications to Mass
Hubert Bray, Sven Hirsch, Demetre Kazaras +2
In the pioneering work of Stern, level sets of harmonic functions have been shown to be an effective tool in the study of scalar curvature in dimension 3. Generalizations of this i…
Scalar Curvature Volume Comparison Theorems for Almost Rigid Sphere
Yiyue Zhang
Bray's football theorem (\cite{bray2009penrose}) is a weakening of Bishop theorem in dimension 3. It gives a sharp volume upper bound for a three dimensional manifold with scalar c…
Proof of Bishop's volume comparison theorem using singular soap bubbles
Hubert Bray, Feng Gui, Zhenhua Liu +1
Bishop's volume comparison theorem states that a compact -manifold with Ricci curvature larger than the standard -sphere has less volume. While the traditional proof uses geo…