Parallel Affine Immersions ${M^n}\to {{\mathbb{R}}^{n+2 }}$ with Flat Connection

We present a classification of parallel affine immersions $f : M^n→{M^n}\to {{\mathbb{R}}^{n+2 }}$ with flat connection according to the rank of the Weingarten mapping.

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Bibliographic Details
Date:2013
Main Authors: Shugailo, E. A., Шугайло, Е. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2013
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2509
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We present a classification of parallel affine immersions $f : M^n→{M^n}\to {{\mathbb{R}}^{n+2 }}$ with flat connection according to the rank of the Weingarten mapping.