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IMA Journal of Mathematical Control and Information 1995 12(4):399-410; doi:10.1093/imamci/12.4.399
© 1995 by Institute of Mathematics and its Applications
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Splines of class Ck on non-euclidean spaces

M. CAMARINHA, F. SILVA LEITE and P. CROUCH

Departamento de Matemática, Universidade de Coimbra 3000 Coimbra-Portugal
Center for Systems Science and Engineering, Arizona State University Tempe, AZ 85287-USA

We generalize, to a general complete riemannian manifold M, the classical splines of class Ck in Rn. These ‘geometric splines’ appear in the context of variational problems as extremal curves of a certain lagrangian on M.


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