Partial tubes and Chen submanifolds
type: Item
instance of: scholarly article
title: Partial tubes and Chen submanifolds
zbMATH Open document ID: 0920.53015
DOI: 10.1007/BF01221236
author: Sheila Carter
author: Uǧur Dursun
published in: Journal of Geometry
publication date: 1999-09-19T00:00:00Z
review text: The authors show how to construct a class of Chen submanifolds of Euclidean space from certain given Chen submanifolds. Using the notion of 1-minimal immersion, they obtain examples which are partial tubes. Many examples of nontrivial Chen submanifolds of dimension \(>2\) with flat normal connection are obtained.
Mathematics Subject Classification ID: 53B25
zbMATH DE Number: 1268131
zbMATH Keywords: Chen submanifold
zbMATH Keywords: 1-minimal immersion
zbMATH Keywords: partial tube
zbMATH Keywords: flat normal connection
reviewed by: Bernard Rouxel
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1268131