Lifting infinitesimal automorphisms to higher order adapted frame bundles

• Autores: Jerzy Kurek, Wlodzimierz M. Mikulski
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 23, Nº 1, 2008, págs. 61-70
• Idioma: inglés
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• Resumen

  • We describe all Folm;n-natural operators A lifting in¯nitesimal automorphisms X on foliated (m + n)-dimensional manifolds (M;F) with n-dimensional foliations F into vector ¯elds A(X) on the r-th order adapted frame bundle Pr(M;F). Next, we describe all Folm;n-natural a±nors on Pr(M;F).