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The News of Altai State University
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Management, Computer Facilities and Computer Science
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Mathematics and Mechanics

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M.A. Cheshkova

About Isometric Along Normal

Consider two hypersurfaces in Euclidean space Em+1 and map along normal. Proved following theorems. If hypersurface M supposes isometric along normal, then in a vicinity of a point pM, where Gaussian curvature distinct from zero, M is locally 1) or hypershere, 2) hyperparaboloid.

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