108 citations · 348 across the 28 of their papers we have counts for
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A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus
Ilka Agricola, Bernd Ammann, Thomas Friedrich
We compare the eigenvalues of the Dirac and Laplace operator on a two-dimensional torus with respect to the trivial spin structure. In particular, we compute their variation up to…
Upper bounds for the first eigenvalue of the Dirac operator on surfaces
Ilka Agricola, Thomas Friedrich
In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on an isometrically immersed surface as well as in…
The Gaussian Measure On Algebraic Varieties
Ilka Agricola, Thomas Friedrich
We prove that the ring $\Aff{\R}{M}$ of all polynomials defined on a real algebraic variety is dense in the Hilbert space $L^2(M,e^{-|x|^2}\deμ)$, where $\deμ$ denot…
Covering groups of the gauge group for the standard elementary particle model
Ilka Agricola
We determine all Lie groups compatible with the gauge structure of the Standard Elementary Particle Model (SM) and their representations. The groups are specified by congruence equ…