Cubic splines on curved spaces. (English) Zbl 0698.58018

Noakes, Lyle; Heinzinger, Greg; Paden, Brad

IMA J. Math. Control Inf. 6, No. 4, 465-473 (1989).

The extremals of some special variational problem on a Riemannian manifold M are characterized in terms of the Riemannian curvature tensor of M. The result is then specialized to the case \(M=SO(3)\).

Reviewer: D.Motreanu

MSC:

58E30	Variational principles in infinite-dimensional spaces
58E10	Variational problems in applications to the theory of geodesics (problems in one independent variable)
49K15	Optimality conditions for problems involving ordinary differential equations

Keywords:

Riemannian manifold