Abstract
The purpose of this paper is to establish the formulas on the power of the normal bundle associated to an immersion of the real projective space $\RP^n$ in the Euclidean space $\R^{n+k}$, and apply them to the problem of extendibility and stable extendibility. Furthermore, we give an example of a $2$-dimensional $\R$-vector bundle over $\RP^2$ that is stably extendible to $\RP^3$ but is not extendible to $\RP^3$.
Citation
Yutaka Hemmi. Teiichi Kobayashi. Min Lwin Oo. "The power of the normal bundle associated to an immersion of $\RP^n$, its complexification and extendibility." Hiroshima Math. J. 37 (1) 101 - 109, March 2007. https://doi.org/10.32917/hmj/1176324097
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