Differential geometry of tensor product immersions
type: Item
instance of: scholarly article
title: Differential geometry of tensor product immersions
zbMATH Open document ID: 0824.53049
DOI: 10.1007/BF00773550
author: Bang-Yen Chen
published in: Annals of Global Analysis and Geometry
publication date: 1995-03-01T00:00:00Z
review text: This paper is part of a series of articles in which the author investigates geometric properties of tensor product immersions. For the basic theory, see [\textit{B. Y. Chen}, Differential Geometry of semiring of immersions. I: General theory, Bull. Inst. Math. Acad. Sin. 21, No. 1, 1- 34 (1993)]. Here, the author investigates the relation between tensor product immersions and submanifolds of finite type [Total mean curvature and submanifolds of finite type, World Scientific (1984; Zbl 0537.53049)]. He first obtains a lower bound for the type number of tensor product immersion and then investigates tensor product immersoins with lowest possible type.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 727099
zbMATH Keywords: tensor product immersions
zbMATH Keywords: submanifolds of finite type
zbMATH Keywords: type number
reviewed by: Luc Vrancken
Wikidata QID: Q115394880
MaRDI profile type: Publication
cites work: Q3322795
cites work: Q5288716
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full work available at URL: https://doi.org/10.1007/bf00773550
OpenAlex ID: W2031257129
description: scientific article; zbMATH DE number 727099