Abstract
We present necessary and sufficient conditions for a regular three-dimensional manifold in the Grassmannian manifoldG(m, m+3) to be the Gauss image of a regular 3-submanifold in (m+3)-dimensional Euclidean space form>4.
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Translated fromMatemalicheskie Zametki, Vol. 62, No. 5, pp. 694–699, November, 1997.
Translated by S. K. Lando
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Gor'kavyi, V.A. Reconstruction of 3-submanifolds of large codimension in euclidean spaces from their gauss image. Math Notes 62, 581–585 (1997). https://doi.org/10.1007/BF02361296
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DOI: https://doi.org/10.1007/BF02361296