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math.DG2026
The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions
Sven Hirsch, Marcus Khuri, Martin Lesourd +1
Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloida…
math.DG2026
On a Variant of the Penrose Conjecture
Sven Hirsch, Yipeng Wang
We give a counterexample to a recently conjectured variant of the Penrose inequality.
math.DG2026
Stable -systoles, scalar curvature and spin comass bounds
Simone Cecchini, Sven Hirsch, Rudolf Zeidler
We prove a sharp stable -systolic inequality for complex projective space under the scalar curvature lower bound of the normalized Fubini-Study metric. If is diffeomorphic t…