9 citations · 18 across the 4 of their papers we have counts for
4 papers
Existence of Dirac Eigenvalues of higher Multiplicity
Nikolai Nowaczyk
In this article, we prove that on any compact spin manifold of dimension m congruent 0,6,7 mod 8, there exists a metric, for which the associated Dirac operator has at least one ei…
A Universal Spinor Bundle and the Einstein-Dirac-Maxwell Equation as a Variational Theory
Olaf Müller, Nikolai Nowaczyk
Not only the Dirac operator, but also the spinor bundle of a pseudo-Riemannian manifold depends on the underlying metric. This leads to technical difficulties in the study of probl…
Dirac Eigenvalues of higher Multiplicity
Nikolai Nowaczyk
Let M be a closed spin manifold of dimension at least three with a fixed topological spin structure. For any Riemannian metric, we can construct the associated Dirac operator. The…
Continuity of Dirac Spectra
Nikolai Nowaczyk
It is a well-known fact that on a bounded spectral interval the Dirac spectrum can be described locally by a non-decreasing sequence of continuous functions of the Riemannian metri…