On Mappings Of $p-$ Dimensional Surfaces in Euclidean Spaces $E_{n}$

Yıl 2020, Cilt: 13 Sayı: 1, 17 - 20, 30.01.2020

Najaf Alıyev

https://doi.org/10.36890/iejg.633279

Öz

In the paper, we study one-to-one mappings of $p$ dimensional surfaces of $n$ dimensional euclidean spaces in $2n$ dimensional euclidean space. In the paper, we use the method of moving frames and exterior forms. The results about conjugacy and orthogonality of nets and conformity of mappings are obtained.

Anahtar Kelimeler

Mappings of n-dimensional surfaces, higher dimensional euclidean spaces, method of moving frame, method of exterior forms

Kaynakça

• [1] Bazylev, V.T., On geometry of differentiable mappings of euclidean spaces (Russian), Uch. Zapiski MGPI, n. 374(1), 28-40 (1970).
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• [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).