Share and Export
Share and Export
Burns, J.M., 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.
Preview
DW-jacobi.pdf
Download (137kB) | Preview
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 |
|---|---|
| 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: | https://mural.maynoothuniversity.ie/id/eprint/6971 |
| 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 |
Repository Staff Only (login required)
- Item control page
Downloads
Downloads per month over past year
