Dynamics on S3 and the Hopf fibration

Osman Ateş, Marian Ioan Munteanu and Ana Irina Nistor

Applied Mathematics and Computation, 2019, vol. 347, issue C, 429-441

Abstract: In the present paper we investigate the dynamics of the S3−component of a J−trajectory in R×S3. We obtain several geometric properties for the projection curve on S2(12) via the Hopf map and we generate some examples with Mathematica. We also prove that the curves in S3 are geodesics on the Hopf tubes over the projection curve on the 2−sphere if and only if they are Legendre curves.

Keywords: Magnetic curve; J−trajectory; Hopf map; Hopf tube; Legendre curve (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300318310014
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:429-441

DOI: 10.1016/j.amc.2018.11.027

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().