DocumentCode
700747
Title
Geometrical polynomials of odd degree in Riemannian manifolds
Author
Camarinha, M. ; Silva Leite, F. ; Crouch, P.
Author_Institution
Dept. de Mat., Univ. de Coimbra, Coimbra, Portugal
fYear
1997
fDate
1-7 July 1997
Firstpage
1872
Lastpage
1878
Abstract
This paper deals with a generalization to Riemannian manifolds of the classical polynomials in IR™, using a variational approach. Properties of these curves, based on the notions of Jacobi fields and conjugate points, are derived. The main result states that in the absence of conjugate points the generalized polynomials locally minimize a particular cost functional.
Keywords
geometry; polynomials; variational techniques; Jacobi fields; Riemannian manifolds; classical polynomials; conjugate points; generalized polynomials; geometrical polynomials; particular cost functional; variational approach; Facsimile; Jacobian matrices; Manifolds; Measurement; Polynomials; Robots; Splines (mathematics); Jacobi fields; Riemannian manifolds; conjugate points; geometric polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 1997 European
Conference_Location
Brussels
Print_ISBN
978-3-9524269-0-6
Type
conf
Filename
7082377
Link To Document