## Abstract

We show that when *k* ≠ 2, 4, 8 the Euler class of any vector bundle over Σ^{k}ℝℙ^{m} is zero if the rank of the bundle is not *m* + *k*, provided that *m* ≠ 3 when *k* = 6. If *k* = 2, 4, 8 we show that the Euler class of any vector bundle over Σ^{k}ℝℙ^{m} is zero whenever the rank of the bundle is not *kr* + *k*, provided that *m* ≠ 6, 7 when *k* = 2, where *r* is the largest integer such that *kr* ≤ *m*.

## Comments (0)

General note:By using the comment function on degruyter.com you agree to our Privacy Statement. A respectful treatment of one another is important to us. Therefore we would like to draw your attention to our House Rules.