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Stable parallelizability of partially oriented flag manifolds II |
Canad. J. Math. 49(1997), 1323-1339
Published:1997-12-01
Printed: Dec 1997
Printed: Dec 1997
- Parameswaran Sankaran
- Peter Zvengrowski
Abstract
In the first paper with the same title the authors
were able to determine all partially oriented flag
manifolds that are stably parallelizable or
parallelizable, apart from four infinite families
that were undecided. Here, using more delicate
techniques (mainly K-theory), we settle these
previously undecided families and show that none of
the manifolds in them is stably parallelizable,
apart from one 30-dimensional manifold which still
remains undecided.
| MSC Classifications: |
57R25 - Vector fields, frame fields 55N15 - $K$-theory [See also 19Lxx] {For algebraic $K$-theory, see 18F25, 19-XX} 53C30 - Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15] |