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March 2007 The power of the normal bundle associated to an immersion of $\RP^n$, its complexification and extendibility
Yutaka Hemmi, Teiichi Kobayashi, Min Lwin Oo
Hiroshima Math. J. 37(1): 101-109 (March 2007). DOI: 10.32917/hmj/1176324097

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 $\RP^3$.

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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

Information

Published: March 2007
First available in Project Euclid: 11 April 2007

zbMATH: 1129.57034
MathSciNet: MR2308526
Digital Object Identifier: 10.32917/hmj/1176324097

Subjects:
Primary: 57R42
Secondary: 55R50

Rights: Copyright © 2007 Hiroshima University, Mathematics Program

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Vol.37 • No. 1 • March 2007
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