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Parallel affine immersions \(M^n\to\mathbb R^{n+2}\) with flat connection

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Publication:893161
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DOI10.1007/s11253-014-0870-6zbMath1341.53017OpenAlexW1980569452WikidataQ125927151 ScholiaQ125927151MaRDI QIDQ893161

E. A. Shugailo

Publication date: 13 November 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-014-0870-6


zbMATH Keywords

flat connectioncodimension-2 immersionsparallel affine immersion


Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Affine differential geometry (53A15)


Related Items (1)

Equiaffine immersions of codimension two with flat connection and one-dimensional Weingarten mapping



Cites Work

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  • On the geometry of affine immersions
  • Parallel surfaces in affine 4-space
  • Flat affine surfaces in \(\mathbb{R}^4\) with flat normal connection
  • Parallel affine immersions with maximal codimension
  • On affine hypersurfaces with parallel nullity
  • Immersions with parallel second fundamental form
  • A NEW EQUIAFFINE THEORY FOR SURFACES IN ℝ4
  • Affine surfaces in \(\mathbb{R}^5\) with zero cubic form


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