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Open AccessArticle10.1515/dema-2003-0218

ON THE CONTACT (k,r)-COELEMENTS

Włodzimierz M. Mikulski-2003-04-01-Demonstratio Mathematica

TL;DRAbstract

A bstract.For natural numbers n, r and k with n > k the bundle functor of contact (k, r)-coelements over n-manifolds is denoted by K k*.The rigidity theorem for K k* is proved.If n > k(r + 1) the natural operators T j^j n -w T K * and T\Mf n ~* T *K k* are completely described and the natural affinors on K k* are classified.The case r = k = 1 is additionally discussed.

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A bstract.For natural numbers n, r and k with n > k the bundle functor of contact (k, r)-coelements over n-manifolds is denoted by K k*.The rigidity theorem for K k* is proved.If n > k(r + 1) the natural operators T j^j n -w T K * and T\Mf n ~* T *K k* are completely described and the natural affinors on K k* are classified.The case r = k = 1 is additionally discussed.

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Mathematics

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