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Mathematical Communications, Vol. 16 No. 2, 2011.

Original scientific paper

Characteristic classes of vector bundles over $ CP(j)\times HP(k)$ and involutions fixing $ CP(2m+1)\times HP(k)$

Yanying Wang ; College of Mathematics and Information Science, Hebei NormalUniversity, Shijiazhuang, P. R., China
Yanchang Chen ; College of Mathematics and Information Science, Hebei NormalUniversity, Shijiazhuang, P. R., China

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page 399-418

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Abstract

In this paper, we determine the total Stiefel-Whitney classes of
vector bundles over the product of the complex projective space
$CP(j)$ with the quaternionic projective space $HP(k)$. Moreover, we
show that every involution fixing $CP(2m+1)\times HP(k)$ bounds.

Keywords

Stiefel-Whitney class; involution; fixed point set

Hrčak ID:

74882

URI

https://hrcak.srce.hr/74882

Publication date:

21.12.2011.

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