On 2-Convex Non-Orientable Surfaces in Four-Dimensional Euclidean Space

We prove that a 2-convex closed surface $S\subset E^4$ in the four-dimensional Euclidean space $E^4$, which is either $C^2$-smooth or polyhedral, provided that each vertex is incident to at most five edges, admits a mapping of degree one to a two-dimensional torus, where the degree is assumed to be$...

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Bibliographic Details
Date:2025
Main Author: Bolotov, Dmitry V.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2025
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1113
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry