Natural operators transforming projectable vector fields to product preserving bundles

Tomáš, Jiří

Proceedings of the 18th Winter School "Geometry and Physics", GDML_Books, (1999), p. 181-187 / Harvested from

Résumé

Let $Y \to M$ be a fibered manifold over a manifold $M$ and $μ : A \to B$ be a homomorphism between Weil algebras $A$ and $B$ . Using the results of Mikulski and others, which classify product preserving bundle functors on the category of fibered manifolds, the author classifies all natural operators $T_{proj} Y \to T^{μ} Y$ , where $T_{proj} Y$ denotes the space of projective vector fields on $Y$ and $T^{μ}$ the bundle functors associated with $μ$ .

MR MR1692269 | Zbl 0959.58001

EUDML-ID : urn:eudml:doc:219860
Mots clés:

@article{701636,
     title = {Natural operators transforming projectable vector fields to product preserving bundles},
     booktitle = {Proceedings of the 18th Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {1999},
     pages = {181-187},
     mrnumber = {MR1692269},
     zbl = {0959.58001},
     url = {http://dml.mathdoc.fr/item/701636}
}

Tomáš, Jiří. Natural operators transforming projectable vector fields to product preserving bundles, dans Proceedings of the 18th Winter School "Geometry and Physics", GDML_Books,  (1999), pp. 181-187. http://gdmltest.u-ga.fr/item/701636/