This overview is based on the talk [101] given at the mini-workshop 0648c" Dirac operators
in di? erential and non-commutative geometry", Mat-matisches Forschungsinstitut …

Crystallographic groups are groups which act in a nice way and via isometries on some n-
dimensional Euclidean space. They got their name, because in three dimensions they occur …

We study the effects of having multiple Spin structures on the partition function of the
spacetime fields in M-theory. This leads to a potential anomaly which appears in the eta …

In this paper we study Clifford and harmonic analysis on some examples of conformal flat
manifolds that have a spinor structure, or more generally, at least a pin structure. The …

Let $ M $ be an orientable compact flat Riemannian manifold endowed with a spin structure.
In this paper we determine the spectrum of Dirac operators acting on smooth sections of …

Existence of spin structures on flat four-manifolds Page 1 Adv. Geom. 10 (2010), 323–332
Advances in Geometry DOI 10.1515 / ADVGEOM.2010.013 c de Gruyter 2010 Existence of …

Problems on Bieberbach groups and flat manifolds Page 1 Geom Dedicata (2006) 120:111–118
DOI 10.1007/s10711-006-9056-1 ORIGINAL ARTICLE Problems on Bieberbach groups and flat …

In this paper, we study the solutions to the generalized Helmholtz equation with complex
parameter on some conformally flat cylinders and on the n‐torus. Using the Clifford algebra …

We study the cohomology groups with Z2-coefficients for compact flat Riemannian manifolds
of diagonal type MΓ= Γ∖ Rn by explicit computation of the differentials in the Lyndon …

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