Jiří Tomáš
Abstract
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A natural T-function on a natural bundle F is a natural operator transforming vector fields on a manifold M into functions on FM. For any Weil algebra A satisfying dim M ⩾ width(A) + 1 we determine all natural T-functions on T * T A M, the cotangent bundle to a Weil bundle T A M.
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A natural T-function on a natural bundle F is a natural operator transforming vector fields on a manifold M into functions on FM. For any Weil algebra A satisfying dim M ⩾ width(A) + 1 we determine all natural T-functions on T * T A M, the cotangent bundle to a Weil bundle T A M.
Key concepts: Cotangent bundle, Mathematics, Vector-valued differential form, Clifford bundle, Bundle, Normal bundle, Pure mathematics, Frame bundle