Characterization of striped surfaces

<p>Let $Z$ be a non-compact two-dimensional manifold and $\Delta$ be a one-dimensional foliation of $Z$ such that $\partial Z$ consists of leaves of $\Delta$ and each leaf of $\Delta$ is a non-compact closed subset of $Z$.<strong></strong></p>We obtain a characterization of a...

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Bibliographic Details
Main Authors: Сергей Иванович Максименко, Евгений Александрович Полулях
Format: Article
Language:Russian
Published: Odessa National Academy of Food Technologies 2017-10-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:http://journals.gsjp.eu/index.php/geometry/article/view/651
Description
Summary:<p>Let $Z$ be a non-compact two-dimensional manifold and $\Delta$ be a one-dimensional foliation of $Z$ such that $\partial Z$ consists of leaves of $\Delta$ and each leaf of $\Delta$ is a non-compact closed subset of $Z$.<strong></strong></p>We obtain a characterization of a subclass of such foliated surfaces $(Z,\Delta)$ glued from open strips $\mathbb{R}\times(0,1)$ with boundary leaves along some of their boundary intervals.
ISSN:2072-9812
2409-8906