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Non-embeddings of the real flag manifolds RF (1, 1, n – 2)

Part of: Differential topology

Published online by Cambridge University Press:  09 April 2009

Deborah O. Ajayi  and
Samuel A. Ilori
Deborah O. Ajayi
Affiliation:
Department of Mathematics, University of Ibadan, Ibadan, Nigeria
Samuel A. Ilori
Affiliation:
Department of Mathematics, University of Botswana, Private Bag 0022, Gaborone, Botswana e-mail: ilorisa@noka. ub. bw
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Abstract

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This paper gives non-embeddings and non-immersions for the real flag manifolds RF(1, 1, n–2), n > 3 and shows that Lam's immersions for n = 4 and 5 and Stong's result for n = 6 are the best possible.

MSC classification

Secondary: 57R20: Characteristic classes and numbers 57R40: Embeddings 57R42: Immersions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 66 , Issue 1 , February 1999 , pp. 51 - 55
Copyright
Copyright © Australian Mathematical Society 1999

References

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