Stably extendible vector burdles over the quaternionic projective spaces

Hiroshima Mathematical Journal Volume 29 Issue 2 Page 273-279 published_at 1999-07
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Title ( eng )
Stably extendible vector burdles over the quaternionic projective spaces
Creator
Kuwana Kouji
Source Title
Hiroshima Mathematical Journal
Volume 29
Issue 2
Start Page 273
End Page 279
Abstract
We show that, if a quaternionic k-dimensional vector bundle y over the quaternionic projective space HP^n is stably extendible and its non-zero top Pontrjagin class is not zero mod 2, then γ is stably equivalent to the Whitney sum of k quaternionic line bundles provided k ≤ n.
Keywords
Schwarzenberger's property
extendible
the quaternionic projective space
NDC
Mathematics [ 410 ]
Language
eng
Resource Type departmental bulletin paper
Publisher
Department of Mathematics, Faculty of Science, Hiroshima University
Date of Issued 1999-07
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 0018-2079
[NCID] AA00664323