Fold maps on 4-manifolds

Osamu Saeki

doi:10.1007/s00014-003-0758-9

Fold maps on 4-manifolds

Osamu Saeki

基礎理論研究部門

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

14 被引用数 (Scopus)

抄録

We give a complete characterization of those closed orientable 4-manifolds which admit smooth maps into R³ with only fold singularities. We also clarify the relationship between the existence problem of fold maps and that of linearly independent vector fields on manifolds.

本文言語	英語
ページ（範囲）	627-647
ページ数	21
ジャーナル	Commentarii Mathematici Helvetici
巻	78
号	3
DOI	https://doi.org/10.1007/s00014-003-0758-9
出版ステータス	出版済み - 9月 1 2003

!!!All Science Journal Classification (ASJC) codes

数学 (全般)

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10.1007/s00014-003-0758-9

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引用スタイル

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title = "Fold maps on 4-manifolds",

abstract = "We give a complete characterization of those closed orientable 4-manifolds which admit smooth maps into R3 with only fold singularities. We also clarify the relationship between the existence problem of fold maps and that of linearly independent vector fields on manifolds.",

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AB - We give a complete characterization of those closed orientable 4-manifolds which admit smooth maps into R3 with only fold singularities. We also clarify the relationship between the existence problem of fold maps and that of linearly independent vector fields on manifolds.

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Fold maps on 4-manifolds

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!!!All Science Journal Classification (ASJC) codes

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