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

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• Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue
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Cited by in corpus (12)

• Zeta Function Methods and Quantum Fluctuations
• Almost Complex and Almost Product Einstein Manifolds from a Variational Principle
• The Barnes zeta-function, sphere determinants and Glaisher- Kinkelin-Bendersky constants
• Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces
• Zeta function regularization in Casimir effect calculations and J.S. Dowker's contribution
• The Conformal Anomaly in General Rank 1 Symmetric Spaces and Associated Operator Product
• Heat-Kernel Asymptotics of Locally Symmetric Spaces of Rank One and Chern-Simons Invariants
• 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