On the Distribution of Conjugate Points along semi-Riemannian Geodesics
| dc.creator | Piccione, Paolo | |
| dc.creator | Tausk, Daniel V. | |
| dc.date | 2000-11-06 | |
| dc.date.accessioned | 2026-07-07T04:38:28Z | |
| dc.date.available | 2026-07-07T04:38:28Z | |
| dc.description | Helfer in [Pacific J. Math. 164/2 (1994), p. 321--350] was the first to produce an example of a spacelike Lorentzian geodesic with a continuum of conjugate points. In this paper we show the following result: given an interval $[a,b]$ of $IR$ and any closed subset $F$ of $IR$ contained in $]a,b]$, then there exists a Lorentzian manifold $(M,g)$ and a spacelike geodesic $γ:[a,b]\to M$ such that $γ(t)$ is conjugate to $γ(a)$ along $γ$ iff $t\in F$. | |
| dc.description | 11 pages, LaTeX2e amsart class | |
| dc.identifier | https://arxiv.org/abs/math/0011038 | |
| dc.identifier | http://arxiv.org/abs/math/0011038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60291 | |
| dc.subject | Differential Geometry | |
| dc.subject | 34B05; 53C50; 53D25 | |
| dc.title | On the Distribution of Conjugate Points along semi-Riemannian Geodesics | |
| dc.type | text |