| dc.creator |
Tukel, Gozde Ozkan |
|
| dc.creator |
Turhan, Tunahan |
|
| dc.creator |
YÜCESAN, Ahmet |
|
| dc.date |
2018-12-31T21:00:00Z |
|
| dc.date.accessioned |
2020-10-06T11:25:55Z |
|
| dc.date.available |
2020-10-06T11:25:55Z |
|
| dc.identifier |
dc8e554f-68ad-4d8d-a313-de40ea973010 |
|
| dc.identifier |
10.18514/mmn.2019.2900 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/dc8e554f-68ad-4d8d-a313-de40ea973010/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/73806 |
|
| dc.description |
In a Lie group G equipped with bi-invariant Riemannian metric, we characterize the generalized elastica by an Euler-Lagrange equation in terms of the Lie reduction V of a curve gamma in G. We define a generalized elastic Lie quadratic in the Lie algebra of G: For a generalized elastic Lie quadratic, we construct the Lax equation that is crucial to the solution of a generalized elastica with regard to its generalized elastic Lie quadratic. Then we solve this equation for a null generalized elastic Lie quadratic with parallel to V(t) parallel to = constant when G Lie group is SO(3). |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
GENERALIZED ELASTICA IN SO(3) |
|
| dc.type |
info:eu-repo/semantics/article |
|