ROUND FOLD MAPS OF n–DIMENSIONAL MANIFOLDS INTO (n − 1)–DIMENSIONAL EUCLIDEAN SPACE

Naoki Kitazawa; Osamu Saeki

doi:10.5427/jsing.2023.26a

ROUND FOLD MAPS OF n–DIMENSIONAL MANIFOLDS INTO (n − 1)–DIMENSIONAL EUCLIDEAN SPACE

Naoki Kitazawa, Osamu Saeki

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

2 被引用数 (Scopus)

抄録

We determine those smooth closed n–dimensional manifolds with n greater than or equal to 4 which admit round fold maps into (n − 1)–dimensional Euclidean space; i.e. fold maps whose critical value sets consist of disjoint spheres of dimension n − 2 isotopic to concentric spheres. We also classify such round fold maps up to a certain natural equivalence relation.

本文言語	英語
ページ（範囲）	1-12
ページ数	12
ジャーナル	Journal of Singularities
巻	26
DOI	https://doi.org/10.5427/jsing.2023.26a
出版ステータス	出版済み - 1月 1 2023

!!!All Science Journal Classification (ASJC) codes

幾何学とトポロジー
応用数学

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10.5427/jsing.2023.26a

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abstract = "We determine those smooth closed n–dimensional manifolds with n greater than or equal to 4 which admit round fold maps into (n − 1)–dimensional Euclidean space; i.e. fold maps whose critical value sets consist of disjoint spheres of dimension n − 2 isotopic to concentric spheres. We also classify such round fold maps up to a certain natural equivalence relation.",

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AB - We determine those smooth closed n–dimensional manifolds with n greater than or equal to 4 which admit round fold maps into (n − 1)–dimensional Euclidean space; i.e. fold maps whose critical value sets consist of disjoint spheres of dimension n − 2 isotopic to concentric spheres. We also classify such round fold maps up to a certain natural equivalence relation.

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ROUND FOLD MAPS OF n–DIMENSIONAL MANIFOLDS INTO (n − 1)–DIMENSIONAL EUCLIDEAN SPACE

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!!!All Science Journal Classification (ASJC) codes

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