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4 papers
Totally umbilical hypersurfaces of Spin manifolds carrying special spinor fields
Nadine Große, Roger Nakad
Under some dimension restrictions, we prove that totally umbilical hypersurfaces of Spin manifolds carrying a parallel, real or imaginary Killing spinor are of constant mean cu…
Analysis and boundary value problems on singular domains: an approach via bounded geometry
Bernd Ammann, Nadine Grosse, Victor Nistor
We prove well-posedness and regularity results for elliptic boundary value problems on certain domains with a smooth set of singular points. Our class of domains contains the class…
Relations between threshold constants for Yamabe type bordism invariants
Bernd Ammann, Nadine Große
In the work of Ammann, Dahl and Humbert it has turned out that the Yamabe invariant on closed manifolds is a bordism invariant below a certain threshold constant. A similar result…
Positive mass theorem for some asymptotically hyperbolic manifolds
Bernd Ammann, Nadine Große
We prove a positive mass theorem for some noncompact spin manifolds that are asymptotic to products of hyperbolic space with a compact manifold. As conclusion we show the Yamabe in…