On Mappings Of p- Dimensional Surfaces in Euclidean Spaces En
On Mappings Of p- Dimensional Surfaces in Euclidean Spaces En
In the paper, we study one-to-one mappings of p dimensional surfaces of n dimensional euclideanspaces in 2n dimensional euclidean space. In the paper, we use the method of moving frames andexterior forms. The results about conjugacy and orthogonality of nets and conformity of mappingsare obtained.
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- [1] Bazylev, V.T., On geometry of differentiable mappings of euclidean spaces (Russian), Uch. Zapiski MGPI, n. 374(1), 28-40 (1970).
- [2] Ryzhkov, V.V., Differential Geometry of Point Transformations Between Spaces (Russian), Itogi Nauki. Geometriya Moscow, pp. 65–107 (1965).
- [3] Melzi, G., Su alcune trasformazioni puntuali fra spazi ordinari estendenti le trasformazioni conformi, Rend. mat. e applic, 16, 1-2, 96-117 (1957).
- [4] Bazylev, V.T., On multidimensional nets in euclidean spaces (Russian), Litov. Mat. Sb., 6, 475-490 (1966); Zbl 0152.19901.
- [5] Aliyev, N.Y., On Mapping of Two Dimensional Euclidean Spaces, Caspian Journal of Applied Mathematics, Ecology and Economics, 2 (1), 101-1091 (2014).
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2008
- Yayıncı: Prof.Dr. H.Hilmi Hacısalioğlu