Euler classes of vector bundles over iterated suspensions of real projective spaces

Rok, strany: 2018, 677 - 684

We show that when $k\neq 2,4,8$, the Euler class of any vector bundle over $Σ^k\mathbb R\mathbb P^m$ is zero if the rank of the bundle is not $m+k$, provided that $m \neq 3$ when $k = 6$. If $k=2,4,8$, we show that the Euler class of any vector bundle over $Σ^k\mathbb R\mathbb P^m$ is zero whenever the rank of the bundle is not $kr+k$, provided that $m\neq 6,7$ when $k=2$, where $r$ is the largest integer such that $kr≤ m$.

ISO 690:

Naolekar, A., Thakur, A. 2018. Euler classes of vector bundles over iterated suspensions of real projective spaces. In Mathematica Slovaca, vol. 68, no.3, pp. 677-684. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0134

APA:

Naolekar, A., Thakur, A. (2018). Euler classes of vector bundles over iterated suspensions of real projective spaces. Mathematica Slovaca, 68(3), 677-684. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0134