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Vector bundles of low geometric dimension over real projective spaces

Published online by Cambridge University Press:  05 September 2005

KEE YUEN LAM  and
DUANE RANDALL
KEE YUEN LAM
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, British Columbia V6T1Z2, Canada. e-mail: lam@math.ubc.ca
DUANE RANDALL
Affiliation:
Department of Mathematics and Computer Science, Loyola University New Orleans, New Orleans, LA 70118, U.S.A. e-mail: randall@loyno.edu
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Abstract

We construct stably nontrivial vector bundles of dimension 5 and also stably nontrivial vector bundles of dimension 6 on real projective spaces of arbitrarily high dimensions. Consequently, we answer a problem posed by J. F. Adams.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 139 , Issue 2 , September 2005 , pp. 229 - 241
Copyright
2005 Cambridge Philosophical Society

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