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Matematicheskie Zametki, 1997, Volume 62, Issue 5, Pages 694–699
DOI: https://doi.org/10.4213/mzm1656 (Mi mzm1656) 		 
Reconstruction of 3-submanifolds of large codimension in Euclidean spaces from their Gauss image

V. A. Gorkavyy

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine
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DOI: https://doi.org/10.4213/mzm1656
Abstract: We present necessary and sufficient conditions for a regular three-dimensional manifold in the Grassmannian manifold $G(m,m+3)$ to be the Gauss image of a regular 3-submanifold in $(m+3)$-dimensional Euclidean space for $m>4$.
Received: 22.01.1996
Revised: 24.06.1997
English version:
Mathematical Notes, 1997, Volume 62, Issue 5, Pages 581–585
DOI: https://doi.org/10.1007/BF02361296
Bibliographic databases:
UDC: 514
Language: Russian
Citation: V. A. Gorkavyy, “Reconstruction of 3-submanifolds of large codimension in Euclidean spaces from their Gauss image”, Mat. Zametki, 62:5 (1997), 694–699; Math. Notes, 62:5 (1997), 581–585
Citation in format AMSBIB
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\pages 694--699
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\transl
\jour Math. Notes
\yr 1997
\vol 62
\issue 5
\pages 581--585
\crossref{https://doi.org/10.1007/BF02361296}
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