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Zeta determinant for Laplace operators on Riemann caps.
- Source :
-
Journal of Mathematical Physics . Feb2011, Vol. 52 Issue 2, p023503. 20p. 1 Diagram. - Publication Year :
- 2011
-
Abstract
- The goal of this paper is to compute the zeta function determinant for the massive Laplacian on Riemann caps (or spherical suspensions). These manifolds are defined as compact and boundaryless D-dimensional manifolds deformed by a singular Riemannian structure. The deformed spheres, considered previously in the literature, belong to this class. After presenting the geometry and discussing the spectrum of the Laplacian, we illustrate a method to compute its zeta regularized determinant. The special case of the deformed sphere is recovered as a limit of our general formulas. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 52
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 58700583
- Full Text :
- https://doi.org/10.1063/1.3545705