%0 Journal Article
%T Zeta Determinant for Laplace Operators on Riemann Caps
%A Antonino Flachi
%A Guglielmo Fucci
%J Mathematics
%D 2010
%I arXiv
%R 10.1063/1.3545705
%X 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.
%U http://arxiv.org/abs/1004.0063v1