On index formulas for manifolds with metric horns
| dc.creator | Lesch, Matthias | |
| dc.creator | Peyerimhoff, Norbert | |
| dc.date | 1996-09-24 | |
| dc.date | 1999-02-19 | |
| dc.date.accessioned | 2026-07-07T09:02:50Z | |
| dc.date.available | 2026-07-07T09:02:50Z | |
| dc.description | In this paper we discuss the index problem for geometric differential operators (Spin-Dirac operator, Gauß-Bonnet operator, Signature operator) on manifolds with metric horns. On singular manifolds these operators in general do not have unique closed extensions. But there always exist two extremal extensions $D_{min}$ and $D_{max}$. We describe the quotient ${\cal D}(D_{max}) / {\cal D}(D_{min})$ explicitely in geometric resp. topologic terms of the base manifolds of the metric horns. We derive index formulas for the Spin-Dirac and Gauß-Bonnet operator. For the Signature operator we present a partial result. The first version of this paper was completed August 1995 at the University of Augsburg. | |
| dc.description | LaTeX, 37 pages. Final version from 20 Jan 1998, completely revised | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9609009 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9609009 | |
| dc.identifier | Commun. Part. Diff. Equ. 23 (1998), 649-684 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148777 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58G (Primary) | |
| dc.title | On index formulas for manifolds with metric horns | |
| dc.type | text |