2013 / June Volume 8 No.2
Invariants of a Complex Cotangent Line Field
Published Date |
2013 / June
|
---|---|
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.
|
AMS Subject Classification |
32V40, 32N05
|
Received |
2012-12-10
|
Accepted |
2012-12-10
|