Geodesic
Round fold maps of n-dimensional manifolds into (n-1)-dimensional Euclidean space
Journal of Singularities, Tome 26 (2023), pp. 1-12

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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.
DOI : 10.5427/jsing.2023.26a
Classification : 57R45, 58K30 
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     author = {Naoki Kitazawa and Osamu Saeki},
     title = {Round fold maps of n-dimensional manifolds into (n-1)-dimensional {Euclidean} space},
     journal = {Journal of Singularities},
     pages = {1--12},
     publisher = {mathdoc},
     volume = {26},
     year = {2023},
     doi = {10.5427/jsing.2023.26a},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2023.26a/}
}
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Naoki Kitazawa; Osamu Saeki. Round fold maps of n-dimensional manifolds into (n-1)-dimensional Euclidean space. Journal of Singularities, Tome 26 (2023), pp. 1-12. doi: 10.5427/jsing.2023.26a

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