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math.DG1998
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…
math.DG1998
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…
math.DG1998
Cartan Spinor Bundles on Manifolds
Thomas Friedrich
The aim of this paper is the construction of spinor bundles of Cartan type over certain non-orientable manifolds.