Immersion Groups of Complex Projective Spaces
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概要
- 論文の詳細を見る
Let M be a closed connected smooth n-dimensional manifold and let R^m be the m-dimensional Euclidean space. Let [M ⊆ R^m] be the set of regular homotopy classes of immersions of M into R^m. If 2m > 3n+1 and there exists an immersion of M into R^m, then the set [M ⊆ R^m] has the structure of an abelian group (see § 1 or [13] ). In this article, we determine the group structure of [CP^n ⊆ R^{4n-i}] for 2≦i≦5, when there exists an immersion of CP^n, the complex projective space of complex dimension n, into R^{4n-i}.
- 山形大学の論文
- 1983-01-20
著者
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Yasui Tsutomu
Department Of Animal Science Faculty Of Agriculture Hokkaido Unviersity
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Yasui Tsutomu
Department Of Mathematics Faculty Of Education Yamagatauniversity
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