Ukrainian Mathematical Journal

, Volume 65, Issue 9, pp 1426–1445 | Cite as

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

  • E. A. Shugailo

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.


Fundamental Form Null Distribution Radius Vector Christoffel Symbol Transverse Distribution 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • E. A. Shugailo
    • 1
  1. 1.Karazin Kharkov National UniversityKharkovUkraine

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