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Cubic splines on curved spaces. (English) Zbl 0698.58018
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
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