In this paper we derive some geometric formulas for the quotient of the zeta functional determinants for certain elliptic boundary value problems on Riemannian 3 and 4-manifolds with smooth boundary. 1997 Academic Press ## 1. Introduction Let (M, g) denote a smooth compact Riemannian manifold wit
Zeta Determinants on Manifolds with Boundary
β Scribed by Simon Scott
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 571 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0022-1236
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β¦ Synopsis
Through a general theory for relative spectral invariants, we study the zdeterminant of global boundary problems of APS-type. In particular, we compute the z-determinant ratio for Dirac-Laplacian boundary problems in terms of a scattering Fredholm determinant over the boundary.
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