Abstract
We study the stable unextendibility of vector bundles over the quatemionic projective space Hpn by making use of combinatorial properties of the Stiefel-Whitney classes and the Pontrjagin classes. First, we show that the tangent bundle of Hpn is not stably extendible to Hpn+1 for n ~ 2, and also induce such a result for the normal bundle associated to an immersion of Hpn into R4n+k. Secondly, we show a sufficient condition for a quatemionic r-dimensional vector bundle over Hpn not to be stably extendible to Hpn+1 for r ::; n and I > 0, which is also a necessary condition when r = n and I = I.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
