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CONEXIONES DE ORDEN k

Manuel de León Rodríguez
Publicacions de la Secció de Matemàtiques
No. 21, ACTES: VII JORNADES MATEMÀTIQUES HISPANO-LUSITANES (segona part) (OCTUBRE 1980), pp. 55-58
Stable URL: http://www.jstor.org/stable/43741753
Page Count: 4
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
CONEXIONES DE ORDEN k
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Abstract

A connection of order on a manifold M is a differentiable vector 1-form Γ on TkM satisfying J₁Γ= J₁, ΓJk = -Jk. Under some hipothesis, a derivation law v in the , F(TkM)-module X(TkM) induces on M a connection Γ of order k. We obtain the relationship between geodesies of v and paths of Γ. Finally, we define the prolongations of a connection Γ on M to a connections Γk of order k.

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