Non-extendibility of tangent bundles of complex projective spaces and quaternion projective spaces (Q1309114)
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scientific article; zbMATH DE number 468808
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-extendibility of tangent bundles of complex projective spaces and quaternion projective spaces |
scientific article; zbMATH DE number 468808 |
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Non-extendibility of tangent bundles of complex projective spaces and quaternion projective spaces (English)
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10 January 1994
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The main results of this paper are: (1) The real tangent bundle of complex projective \(n\)-space \(\mathbb{C} P^ n\) is extendible to \(\mathbb{C} P^{n + 1}\), i.e. is equivalent to the restriction of a real vector bundle on \(\mathbb{C} P^{n + 1}\), iff \(n = 1\) or 3. (2) The real tangent bundle of quaternion projective \(n\)-space \(HP^ n\) is extendible to \(HP^{n+1}\) iff \(n = 1\).
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extending bundles
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real tangent bundle of complex projective \(n\)-space
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real tangent bundle of quaternion projective \(n\)-space
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0.8346130847930908
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0.8346130847930908
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0.8263847827911377
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0.8262454867362976
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