On Legendre Curves in Contact 3-Manifolds
| dc.contributor.author | Baikoussis, C. | en |
| dc.contributor.author | Blair, D. E. | en |
| dc.date.accessioned | 2015-11-24T17:26:12Z | |
| dc.date.available | 2015-11-24T17:26:12Z | |
| dc.identifier.issn | 0046-5755 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13166 | |
| dc.rights | Default Licence | - |
| dc.title | On Legendre Curves in Contact 3-Manifolds | en |
| heal.abstract | It is first observed that on a 3-dimensional Sasakian manifold the torsion of a Legendre curve is identically equal to + 1. It is then shown that, conversely, if a curve on a Sasakian 3-manifold has constant torsion + 1 and satisfies the initial conditions at one point for a Legendre curve, it is a Legendre curve. Furthermore, among contact metric structures, this property is characteristic of Sasakian metrics. For the standard contact structure on R3 with its standard Sasakian metric the curvature of a Legendre curve is shown to be twice the curvature of its projection to the xy-plane with respect to the Euclidean metric. Thus this metric on R3 is more natural for the study of Legendre curves than the Euclidean metric. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | Doi 10.1007/Bf01610616 | - |
| heal.identifier.secondary | <Go to ISI>://A1994NC73100003 | - |
| heal.identifier.secondary | http://download.springer.com/static/pdf/807/art%253A10.1007%252FBF01610616.pdf?auth66=1391675739_44d8c3c9539155b2044f1af1c4039dd8&ext=.pdf | - |
| heal.journalName | Geometriae Dedicata | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 1994 | - |
| heal.publisher | Springer Verlag (Germany) | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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