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math.DG2023
Stability of Llarull's theorem in all dimensions
Sven Hirsch, Yiyue Zhang
Llarull's theorem characterizes the round sphere among all spin manifolds whose scalar curvature is bounded from below by . In this paper we show that if the scalar c…
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…