21 citations · 129 across the 19 of their papers we have counts for
19 papers
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…
Duality pairings with the analytic structure group
Christopher Wulff, Rudolf Zeidler
We construct a slant product on…
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…
Nonnegative scalar curvature on manifolds with at least two ends
Simone Cecchini, Daniel Räde, Rudolf Zeidler
Let be an orientable connected -dimensional manifold with and let be a two-sided closed connected incompressible hypersurface which does not admit…
The positive mass theorem and distance estimates in the spin setting
Simone Cecchini, Rudolf Zeidler
Let be an asymptotically Euclidean end in an otherwise arbitrary complete and connected Riemannian spin manifold . We show that if has negative A…
Scalar and mean curvature comparison via the Dirac operator
Simone Cecchini, Rudolf Zeidler
We use the Dirac operator technique to establish sharp distance estimates for compact spin manifolds under lower bounds on the scalar curvature in the interior and on the mean curv…
Width, Largeness and Index Theory
Rudolf Zeidler
In this note, we review some recent developments related to metric aspects of scalar curvature from the point of view of index theory for Dirac operators. In particular, we revisit…
Slant products on the Higson-Roe exact sequence
Alexander Engel, Christopher Wulff, Rudolf Zeidler
We construct a slant product on the analytic structure group of Hi…
Transfer maps in generalized group homology via submanifolds
Martin Nitsche, Thomas Schick, Rudolf Zeidler
Let be a submanifold embedding of spin manifolds of some codimension . A classical result of Gromov and Lawson, refined by Hanke, Pape and Schick, states th…
Band width estimates via the Dirac operator
Rudolf Zeidler
Let be a closed connected spin manifold such that its spinor Dirac operator has non-vanishing (Rosenberg) index. We prove that for any Riemannian metric on $V = M \times [-1,1]…
On the range of the relative higher index and the higher rho-invariant for positive scalar curvature
Zhizhang Xie, Guoliang Yu, Rudolf Zeidler
Let be a closed spin manifold which supports a positive scalar curvature metric. The set of concordance classes of positive scalar curvature metrics on forms an abelian gro…
Positive scalar curvature and low-degree group homology
Noé Bárcenas, Rudolf Zeidler
Let be a discrete group. Assuming rational injectivity of the Baum-Connes assembly map, we provide new lower bounds on the rank of the positive scalar curvature bordism group a…
An index obstruction to positive scalar curvature on fiber bundles over aspherical manifolds
Rudolf Zeidler
We exhibit geometric situations, where higher indices of the spinor Dirac operator on a spin manifold are obstructions to positive scalar curvature on an ambient manifold t…
Positive scalar curvature and product formulas for secondary index invariants
Rudolf Zeidler
We introduce partial secondary invariants associated to complete Riemannian metrics which have uniformly positive scalar curvature outside a prescribed subset on a spin manifold. T…
Coarse median structures and homomorphisms from Kazhdan groups
Rudolf Zeidler
We study Bowditch's notion of a coarse median on a metric space and formally introduce the concept of a coarse median structure as an equivalence class of coarse medians up to clos…