Margarida Camarinha, Fátima Silva Leite, Peter Edward Crouch
Abstract
We generalize, to a general complete riemannian manifold M , the classical splines of class C k in R n . These ‘geometric splines’ appear in the context of variational problems as extremal curves of a certain lagrangian on M .
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We generalize, to a general complete riemannian manifold M , the classical splines of class C k in R n . These ‘geometric splines’ appear in the context of variational problems as extremal curves of a certain lagrangian on M .
Key concepts: Class (philosophy), Mathematics, Euclidean geometry, Context (archaeology), Lagrangian, Riemannian manifold, Manifold (fluid mechanics), Pure mathematics