Product Einstein Manifolds, Zeta-Function Regularization and the Multiplicative Anomaly

Abstract

The global additive and multiplicative properties of Laplace type operators acting on irreducible rank 1 symmetric spaces are considered. The explicit form of the zeta function on product spaces and of the multiplicative anomaly is derived.

14 pages, LaTeX

References in corpus (1)

• Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue

Cited by in corpus (12)

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• Functional Determinants in Higher Derivative Lagrangian Theories
• Operator Product on Locally Symmetric Spaces of Rank One and the Multiplicative Anomaly
• Zeta-function regularization and the thermodynamic potential for quantum fields in symmetric spaces
• Anomalies and Analytic Torsion on Hyperbolic Manifolds
• Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal Anomaly