Volume no :12, Issue no: 2, December (2011)

Journal of Mathematical Sciences: Advances and Applications

DECOMPOSITION THEOREMS FOR JET BUNDLES OF A FIBER BUNDLE

Author's: ADELINA MANEA
Pages: [69] - [80]
Received Date: August 19, 2011, Revised November 3, 201
Submitted by:

Abstract

Let be a fiber bundle. We prove that the k-th jet bundle of M is a direct summand of the k-th jet bundle of E, when they are pulled-back to the k-th jet manifold of bundle The case of bundles over foliated manifolds is also studied.

Keywords

fiber bundles, jets, foliations.