Zeta Functions, Determinants and Torsion for Open Manifolds

Details Zeta Functions, Determinants and Torsion for Open Manifolds Zeta Functions, Determinants and Torsion for Open Manifolds

1997-07-10

arxiv.org/abs/dg-ga/9707007v1

Mathematics

Differential Geometry

Scientific paper

On an open manifold, the spaces of metrics or connections of bounded
geometry, respectively, split into an uncountable number of components. We show
that for a pair of metrics or connections, belonging to the same component,
relative $\zeta$-functions, determinants, torsion for pairs of generalized
Dirac operators are well defined.

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