8 citations · 10 across the 8 of their papers we have counts for
11 papers · 1 filter
Scalar curvature rigidity for products of convex hypersurfaces
Samuel Lockman, Rudolf Zeidler
Let , where each is a closed strictly convex hypersurface. Let be a Riemannian spin manifold of dimensi…
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…
The degree condition in Llarull's theorem on scalar curvature rigidity
Christian Baer, Rudolf Zeidler
Llarull's scalar curvature rigidity theorem states that a 1-Lipschitz map from a closed connected Riemannian spin manifold with scalar curvature $\mathrm{scal}\ge…
Positive scalar curvature with point singularities
Simone Cecchini, Georg Frenck, Rudolf Zeidler
We show that in every dimension , there exists a smooth closed manifold which does not admit a smooth positive scalar curvature ("psc") metric, but admits an $\…
Rigidity of spin fill-ins with non-negative scalar curvature
Simone Cecchini, Sven Hirsch, Rudolf Zeidler
We establish new mean curvature rigidity theorems for spin fill-ins with non-negative scalar curvature using two different spinorial techniques. Our results address two questions b…
Positive mass theorems for spin initial data sets with arbitrary ends and dominant energy shields
Simone Cecchini, Martin Lesourd, Rudolf Zeidler
We prove a positive mass theorem for spin initial data sets that contain an asymptotically flat end and a shield of dominant energy (a subset of on which the dominant…