Double vector bundles and duality

Katarzyna Konieczna; Pawel Urbański

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Rendiconti del Seminario Matematico della Università di Padova

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Hanna Matuszczyk (1983)

Annales Polonici Mathematici

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Pedro L. García (1972)

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Natural differential operators between some natural bundles

Włodzimierz M. Mikulski (1993)

Mathematica Bohemica

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Let $F$ and $G$ be two natural bundles over $n$ -manifolds. We prove that if $F$ is of type (I) and $G$ is of type (II), then any natural differential operator of $F$ into $G$ is of order 0. We give examples of natural bundles of type (I) or of type (II). As an application of the main theorem we determine all natural differential operators between some natural bundles.

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