On the existence of local frames of CR vector bundles

Details On the existence of local frames of CR vector bundles On the existence of local frames of CR vector bundles

2011-02-09

arxiv.org/abs/1102.1870v2

Mathematics

Complex Variables

9 pages

Scientific paper

Given a CR manifold D, we shall show that existence of a CR local frame of a
certain CR bundle over D is equivalent to the local imbeddability of D. This
will imply that there exists a CR vector bundle which doesn't have CR local
frames. Using this bundle, we shall construct CR line bundles over
3-dimensional non-imbeddable CR manifolds which don't have CR local frames.

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