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

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Ukrainian Mathematical Journal Aims and scope

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

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Authors and Affiliations

  1. Karazin Kharkov National University, Kharkov, Ukraine

    E. A. Shugailo

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  1. E. A. Shugailo
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 9, pp. 1283–1300, September, 2013.

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Shugailo, E.A. Parallel Affine Immersions \( {M^n}\to {{\mathbb{R}}^{n+2 }} \) with Flat Connection. Ukr Math J 65, 1426–1445 (2014). https://doi.org/10.1007/s11253-014-0870-6

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  • DOI: https://doi.org/10.1007/s11253-014-0870-6

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