[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2007.44.1.083

A CERTAIN PROPERTY OF POLYNOMIALS AND THE CI-STABILITY OF TANGENT BUNDLE OVER PROJECTIVE SPACES

Tanaka, Ryuichi (Department of Liberal Arts Faculty of Science and Technology Tokyo University of Science Noda)

Publication Information

Bulletin of the Korean Mathematical Society / v.44, no.1, 2007 , pp. 83-86 More about this Journal

Abstract

We determine the largest integer i such that $0 is odd in the polynomial $(1+t+t^{2}+{\cdots}+t^{n})^{n+1}$ . We apply this to prove that the co-index of the tangent bundle over $FP^{n}$ is stable if $2^{r}{\leq}n<2^{r}+\frac{1}{3}(2^{r}-2)$ for some integer r.

Keywords

sphere bundle; $\mathbb{Z}_2-map$ ; co-index;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
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Reference

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