2013 / June Volume 8 No.2
Invariants of a Complex Cotangent Line Field
| Published Date |
2013 / June
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|---|---|
| Title | Invariants of a Complex Cotangent Line Field |
| Author | |
| Keyword | |
| Download | |
| Pagination | 259-267 |
| Abstract | We study a complex manifold $M$ together
with a smooth complex line sub-bundle $E$ of its (1,0)-cotangent bundle. $E$ is assumed to satisfy a certain integrability condition and a non-degeneracy condition. We attach to the structure $(M,E)$ an invariant generalized connection on a principal bundle $P$ over $M$ of adapted coframes. The total space of $E$ minus its zero section has a natural almost complex structure. We determine when it is actually a complex structure.
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| AMS Subject Classification |
32V40, 32N05
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| Received |
2012-12-10
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| Accepted |
2012-12-10
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