14 citations · 53 across the 22 of their papers we have counts for
16 papers · 1 filter
On the Spectrum of the Dirac operator
Nelia Charalambous, Nadine Große
Our main goal in the present paper is to expand the known class of open manifolds over which the -spectrum of a general Dirac operator and its square is maximal. To achieve th…
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…
Homotopy equivalence of spaces of metrics with invertible Dirac operator
Nadine Große, Niccolò Pederzani
We prove that for cobordant closed spin manifolds of dimension the associated spaces of metrics with invertible Dirac operator are homotopy equivalent. This is the spinor…
The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with timelike boundary
Nadine Große, Simone Murro
We consider the Dirac operator on globally hyperbolic manifolds with timelike boundary and show well-posedness of the Cauchy initial-boundary value problem coupled to MIT-boundary…
Holomorphic quadratic differentials dual to Fenchel-Nielsen coordinates
Nadine Große, Melanie Rupflin
We discuss bases of the space of holomorphic quadratic differentials that are dual to the differentials of Fenchel-Nielsen coordinates and hence appear naturally when considering f…
Sharp eigenvalue estimates on degenerating surfaces
Nadine Große, Melanie Rupflin
We consider the first non-zero eigenvalue of the Laplacian on hyperbolic surfaces for which one disconnecting collar degenerates and prove that essentiall…
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…
-spectrum of the Dirac operator on products with hyperbolic spaces
Bernd Ammann, Nadine Große
We study the -spectrum of the Dirac operator on complete manifolds. One of the main questions in this context is whether this spectrum depends on . As a first example where…
Complex Generalized Killing Spinors on Riemannian Spin manifolds
Nadine Große, Roger Nakad
In this paper, we extend the study of generalized Killing spinors on Riemannian Spin manifolds started by Moroianu and Herzlich to complex Killing functions. We prove that such…
Boundary value problems for noncompact boundaries of Spin manifolds and spectral estimates
Nadine Große, Roger Nakad
We study boundary value problems for the Dirac operator on Riemannian Spin manifolds of bounded geometry and with noncompact boundary. This generalizes a part of the theory of…
The Yamabe constant on noncompact manifolds
Nadine Große, Marc Nardmann
We prove several facts about the Yamabe constant of Riemannian metrics on general noncompact manifolds and about S. Kim's closely related "Yamabe constant at infinity". In particul…
Invertible Dirac operators and handle attachments on manifolds with boundary
Mattias Dahl, Nadine Große
For spin manifolds with boundary we consider Riemannian metrics which are product near the boundary and are such that the corresponding Dirac operator is invertible when half-infin…
The Yamabe equation on complete manifolds with finite volume
Nadine Große
We prove the existence of a solution of the Yamabe equation on complete manifolds with finite volume and positive Yamabe invariant. In order to circumvent the standard methods on c…
Solutions of the equation of a spinorial Yamabe-type problem on manifolds of bounded geometry
Nadine Große
We consider a spinorial Yamabe-type problem on open manifolds of bounded geometry. The aim is to study the existence of solutions to the associated Euler-Lagrange-equation. We show…
The Yamabe equation on manifolds of bounded geometry
Nadine Große
We study the Yamabe problem on open manifolds of bounded geometry and show that under suitable assumptions there exist Yamabe metrics, i.e. conformal metrics of constant scalar cur…