Structure of m-dimensional implicitly defined surfaces in n-dimensional Euclidean space $E_n$

Structure of m-dimensional implicitly defined surfaces in n-dimensional Euclidean space $E_n$

We consider the structure of the surface in the given point, if we vary all its normals in this point.

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  • [1] Borisenko A. A. About some classes of high dimension surfaces. Ukr. geom. sbornic, 1986, 29, p. 5-12 (in Russia).
  • [2] Kotlyar A. B. Structure of surfaces F2 ⊂ E4. Izv. Vuz. (Vyssh. Uchebn. Zaved.), ser. Math., 1997, 12, p. 21-24 (in Russia).