TY - JOUR
T1 - Quadratures and cubics in SO(3) and SO(1,2)
AU - Popiel, Tomasz
AU - Noakes, Lyle
PY - 2006
Y1 - 2006
N2 - We solve a class of first-order differential equations on SO(3) and SO(1,2) by quadratures. We then consider applications to variational curves, namely, Riemannian cubics, Riemannian cubics in tension, and elastica.
AB - We solve a class of first-order differential equations on SO(3) and SO(1,2) by quadratures. We then consider applications to variational curves, namely, Riemannian cubics, Riemannian cubics in tension, and elastica.
UR - https://www.scopus.com/pages/publications/33845419214
U2 - 10.1093/imamci/dni069
DO - 10.1093/imamci/dni069
M3 - Article
SN - 0265-0754
VL - 23
SP - 463
EP - 473
JO - IMA Journal of Mathematical Control and Information
JF - IMA Journal of Mathematical Control and Information
IS - 4
ER -