Antonino Flachi

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  Available from: ArXiv

  Article: Zeta Determinant for Laplace Operators on Riemann Caps

  Antonino Flachi, Guglielmo Fucci
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  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.
  04/2010;