Stable extendibility of the tangent bundles over the lens spaces

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概要

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• The purpose of this paper is to study the stable extendibility of the tangent bundle τ_n(p) of the (2n+1)-dimensional standard lens space L^n(p) for odd prime p. We investigate the value of integer m for which τ_n(p) is stably extendible to L^m(p) but not stably extendible to L^<m+1>(p), and in particular we completely determine m for p=5 or 7. A stable splitting of τ_n(p) and the stable extendibility of a Whitney sum of τ_n(p) are also discussed.

• 広島大学の論文

著者

• Imaoka Mitsunori

  Department Of Mathematics Education Graduate School Of Education Hiroshima University

• Imaoka Mitsunori

  Department Of Mathematcs Faculty Of Education Hiroshima University

• Yamasaki Hironori

  Department Of Mathematics Graduate School Of Science Hiroshima University

• イマオカ ミツノリ

  Department of Mathematics Graduate School of Science 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 extendibility of $m \tau _n$ over real projective spaces
• 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

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