Sankaran, P. ; Zvengrowski, P. (1987) Stable parallelizability of partially oriented flag manifolds Pacific-Asian Journal of Mathematics, 128 (2). pp. 349-359. ISSN 0973-5240
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Abstract
This paper solves the questions of stable parallelizability and paral-lelizability for the family of partially oriented (p.o.) flag manifolds, except for a few undecided cases. In particular, for the oriented Grass-mannians Gk(Rn) it is proved that apart from the spheres S1, S3, and S7 only G3(R6) is parallelizable, and only G2(R4) is stably paraUelizable and not parallelizable. Negative results are derived for the most part using KO theory and the "inclusion method", while positive results are mainly based on the "λ2 construction".
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Serials Publications. |
| ID Code: | 96273 |
| Deposited On: | 11 Dec 2012 10:59 |
| Last Modified: | 11 Dec 2012 10:59 |
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