| Full text | |
| Author(s): |
Hartmann, Luiz
;
Spreafico, Mauro
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN; v. 69, n. 1, p. 311-371, JAN 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
We give an explicit formula for the L-2 analytic torsion of the finite metric cone over an oriented compact connected Riemannian manifold. We provide an interpretation of the different factors appearing in this formula. We prove that the analytic torsion of the cone is the finite part of the limit obtained collapsing one of the boundaries, of the ratio of the analytic torsion of the frustum to a regularising factor. We show that the regularising factor comes from the set of the non square integrable eigenfunctions of the Laplace Beltrami operator on the cone. (AU) | |
| FAPESP's process: | 13/04396-6 - Analytic torsion and its geometric interpretation in natural spaces |
| Grantee: | Luiz Roberto Hartmann Junior |
| Support Opportunities: | Regular Research Grants |