## KAJISA Tomonori,

## On the existence of local frames of CR vector bundles.

## Hokkaido Mathematical Journal, 42 (2013) pp.121-130

### Fulltext

PDF### 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.

MSC(Primary) | 32V99 |
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MSC(Secondary) | |

Uncontrolled Keywords | CR manifold, CR imbedding, CR vector bundle |