On the existence of local frames of CR vector bundles

Tomonori Kajisa

On the existence of local frames of CR vector bundles

Complex Variables 2011-11-02 v2

Authors: Tomonori Kajisa

Abstract

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.

Keywords

CR manifold CR vector bundle local frame local imbeddability CR line bundle

Cite

@article{arxiv.1102.1870,
  title  = {On the existence of local frames of CR vector bundles},
  author = {Tomonori Kajisa},
  journal= {arXiv preprint arXiv:1102.1870},
  year   = {2011}
}

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9 pages

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