Abstract
Given a CR manifold D, we shall show that existence of a CR local frame of a certain CR vector 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.
Citation
Tomonori KAJISA. "On the existence of local frames of CR vector bundles." Hokkaido Math. J. 42 (1) 121 - 130, February 2013. https://doi.org/10.14492/hokmj/1362406642
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