2017
Том 69
№ 9

All Issues

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

Shugailo E. A.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 9, pp 1426-1445.

Citation Example: Shugailo E. A. Parallel Affine Immersions ${M^n}\to {{\mathbb{R}}^{n+2 }}$ with Flat Connection // Ukr. Mat. Zh. - 2013. - 65, № 9. - pp. 1283–1300.

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