Waterstraat, Nils (2011) A K-Theoretic Proof of the Morse Index Theorem in Semi-Riemannian Geometry. Proceedings of the American Mathematical Society, 140 . pp. 337-349. ISSN 0002-9939. (doi:10.1090/S0002-9939-2011-10874-8) (KAR id:51388)
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| Official URL: http://dx.doi.org/10.1090/S0002-9939-2011-10874-8 |
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Abstract
We give a short proof of the Morse index theorem for geodesics in semi-Riemannian manifolds by using K-theory. This makes the Morse index theorem reminiscent of the Atiyah-Singer index theorem for families of selfadjoint elliptic operators.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1090/S0002-9939-2011-10874-8 |
| Additional information: | Imported from arXiv |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA440 Geometry |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Nils Waterstraat |
| Date Deposited: | 03 Nov 2015 16:44 UTC |
| Last Modified: | 20 May 2025 11:37 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/51388 (The current URI for this page, for reference purposes) |
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