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

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 $m>4$.

UDC: 514

Received: 22.01.1996
Revised: 24.06.1997

DOI: 10.4213/mzm1656

 English version: Mathematical Notes, 1997, 62:5, 581–585

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