Determinant of Laplacian on a non-compact 3-dimensional hyperbolic manifold with finite volume

Abstract

The functional determinant of Laplace-type operators on the 3-dimensional non-compact hyperbolic manifold with invariant fundamental domain of finite volume is computed by quadratures and making use of the related terms of the Selberg trace formula.

10 pages, LaTex. The contribution of hyperbolic elements has been added

References in corpus (4)

• Quantum Fields and Extended Objects in Space-Times with Constant Curvature Spatial Section
• Vacuum energy on orbifold factors of spheres
• The conformal anomaly in N-dimensional space having a hyperbolic spatial section
• Self-interacting scalar fields on spacetime with compact hyperbolic spatial part

Cited by in corpus (7)

• Quantum Scalar Field on the Massless (2+1)-Dimensional Black Hole Background
• Heat-kernel expansion on non compact domains and a generalised zeta-function regularisation procedure
• Spectral analysis and zeta determinant on the deformed spheres
• Effective action for scalar fields and generalised zeta-function regularisation
• One-loop effective potential for scalar and vector fields on higher dimensional noncommutative flat manifolds
• Orbifold Compactification and Solutions of M--Theory from Milne Spaces
• Regularized determinants of the Laplacian for cofinite Kleinian groups with finite-dimensional unitary representations