A. Hermann

activity

20092018

most citedDirac eigenspinors for generic metrics

11 citations · 26 across the 5 of their papers we have counts for

collaborators

6 papers

math.DG2018

Mass functions of a compact manifold

Andreas Hermann, Emmanuel Humbert

Let $M$ be a compact manifold of dimension $n$ . In this paper, we introduce the {\em Mass Function} $a \geq 0 \mapsto \xp{M}{a}$ (resp. $a \geq 0 \mapsto \xm{M}{a}$) which is defin…

math.DG2014

About the mass of certain second order elliptic operators

Andreas Hermann, Emmanuel Humbert

Let $(M, g)$ be a closed Riemannian manifold of dimension $n \geq 3$ and let $f \in C^{\infty} (M)$ , such that the operator $P_{f} := Δ_{g} + f$ is positive. If $g$ is flat near some point $…

math.DG2012

Zero sets of eigenspinors for generic metrics

Andreas Hermann

Let $M$ be a closed connected spin manifold of dimension $2$ or $3$ with a fixed orientation and a fixed spin structure. We prove that for a generic Riemannian metric on $M$ the no…

math.DG2012★ 11 cited

Dirac eigenspinors for generic metrics

Andreas Hermann

We consider a Riemannian spin manifold (M,g) with a fixed spin structure. The zero sets of solutions of generalized Dirac equations on M play an important role in some questions ar…

math.DG2010★ 9 cited

Mass endomorphism, surgery and perturbations

Bernd Ammann, Mattias Dahl, Andreas Hermann +1

We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass end…

math.DG2009★ 6 cited

Generic metrics and the mass endomorphism on spin three-manifolds

Andreas Hermann

Let $(M, g)$ be a closed Riemannian spin manifold. The constant term in the expansion of the Green function for the Dirac operator at a fixed point $p \in M$ is called the mass endom…