Extendiblity of negative vector bundles over the complex projective spaces
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概要
- 論文の詳細を見る
By Schwarzenberger's property, a complex vector bundle of dimension t over the complex projective space CP^n is extendible to CP^<n+k> for any k ≥ 0 if and only if it is stably equivalent to a Whitney sum of t complex line bundles. In this paper, we show some conditions for a negative multiple of a complex line bundle over CP^n to be extendible to CP^<n+1> or CP^<n+2>, and its application to unextendibility of a normal bundle of CP^n.
- 広島大学の論文
著者
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Imaoka Mitsunori
Department Of Mathematics Education Graduate School Of Education Hiroshima University
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Imaoka Mitsunori
Department Of Mathematcs Faculty Of Education Hiroshima University
関連論文
- On the stable Hurewicz image of some stunted projective spaces,3
- Extendiblity of negative vector bundles over the complex projective spaces
- On the Stable Hurewicz Image of Some Stunted Projective Spaces, II : Dedicated to Professor N. Shimada on his 60th birthday
- On the Adams Filtration of a Generator of the Free Part of $\pi\sp s\sb *(Q\sb n)$ / Dedicated to Professor Shoro Araki on his sixtieth birthday
- On the Adams Filtration of a Generator of the Free Part of $\pi\sp s\sb *(Q\sb n)$ / Dedicated to Professor Shoro Araki on his sixtieth birthday
- On the Adams Filtration of a Generator of the Free Part of $\pi\sp s\sb *(Q\sb n)$ / Dedicated to Professor Shoro Araki on his sixtieth birthday
- On the Adams Filtration of a Generator of the Free Part of $\pi\sp s\sb *(Q\sb n)$ / Dedicated to Professor Shoro Araki on his sixtieth birthday
- On the Adams Filtration of a Generator of the Free Part of $\pi\sp s\sb *(Q\sb n)$ / Dedicated to Professor Shoro Araki on his sixtieth birthday
- Symmetricity of the Whitehead element
- On the Stable Hurewicz Image of Some Stunted Projective Spaces,I : Dedicated to Professor N. Shimada on his 60th birthday
- Stable unextendibility of vector bundles over the quaternionic projective spaces
- Stable extendibility of the tangent bundles over the lens spaces
- Transfer maps of sphere bundles