Burns, J.M. and Staunton, E. and Wraith, David (2013) On the Jacobi Equation and Manifolds with Multiple Conjugate Points. Mathematical Proceedings of the Royal Irish Academy, 113A (1). pp. 19-30.
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Official URL: http://www.jstor.org/stable/23464537
Abstract
We investigate the phenomenon of multiple conjugate points along a geodesic. In the first instance, we investigate conjugate points in the context of the Jacobi equation, a second order ordinary differential equation, which captures precisely the geometry of conjugate points on surfaces. We then construct geometric examples which exhibit similar properties in higher dimensions.
| Item Type: | Article |
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| Additional Information: | This is the preprint version of the published article, which is available at http://www.jstor.org/stable/23464537 |
| Keywords: | conjugate points; geodesics; Jacobi equation; Riemannian manifolds; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 6971 |
| Depositing User: | Dr. David Wraith |
| Date Deposited: | 18 Feb 2016 17:03 |
| Journal or Publication Title: | Mathematical Proceedings of the Royal Irish Academy |
| Publisher: | Royal Irish Academy |
| Refereed: | Yes |
| URI: | |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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