COURBURE ET TORSION DANS LES ALGÈBRES DE CLIFFORD
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Abstract
Clifford Algebras generalize curvature and torsion in R(p; q) (p and q are positive integers and p + q = n dimension of the space). General formulas are obtained. We study the special case q = 0. Moreover if n = 3 we obtain Frenet formulas.
Keywords
Positive Integer General Formula Clifford Algebra Popular Science Frenet Formula
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Résumé
Les algébres de Clifford généralisent la courbure et la torsion dans R(p; q) (p q nombres positifs entiers et p + q = n, dimension de l’espace). On obtient aisément des formules générales. Nous étudions le cas particulier q = 0. Si en outre n = 3 on retrouve les formules de Frenet.
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© Birkhäuser Verlag, Basel 2006