Research Article
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Year 2020, Volume: 13 Issue: 1, 17 - 20, 30.01.2020
https://doi.org/10.36890/iejg.633279

Abstract

References

  • [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).

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

Year 2020, Volume: 13 Issue: 1, 17 - 20, 30.01.2020
https://doi.org/10.36890/iejg.633279

Abstract

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.

References

  • [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).
There are 5 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Najaf Alıyev 0000-0002-2793-217X

Publication Date January 30, 2020
Acceptance Date December 31, 2019
Published in Issue Year 2020 Volume: 13 Issue: 1

Cite

APA Alıyev, N. (2020). On Mappings Of $p-$ Dimensional Surfaces in Euclidean Spaces $E_{n}$. International Electronic Journal of Geometry, 13(1), 17-20. https://doi.org/10.36890/iejg.633279
AMA Alıyev N. On Mappings Of $p-$ Dimensional Surfaces in Euclidean Spaces $E_{n}$. Int. Electron. J. Geom. January 2020;13(1):17-20. doi:10.36890/iejg.633279
Chicago Alıyev, Najaf. “On Mappings Of $p-$ Dimensional Surfaces in Euclidean Spaces $E_{n}$”. International Electronic Journal of Geometry 13, no. 1 (January 2020): 17-20. https://doi.org/10.36890/iejg.633279.
EndNote Alıyev N (January 1, 2020) On Mappings Of $p-$ Dimensional Surfaces in Euclidean Spaces $E_{n}$. International Electronic Journal of Geometry 13 1 17–20.
IEEE N. Alıyev, “On Mappings Of $p-$ Dimensional Surfaces in Euclidean Spaces $E_{n}$”, Int. Electron. J. Geom., vol. 13, no. 1, pp. 17–20, 2020, doi: 10.36890/iejg.633279.
ISNAD Alıyev, Najaf. “On Mappings Of $p-$ Dimensional Surfaces in Euclidean Spaces $E_{n}$”. International Electronic Journal of Geometry 13/1 (January 2020), 17-20. https://doi.org/10.36890/iejg.633279.
JAMA Alıyev N. On Mappings Of $p-$ Dimensional Surfaces in Euclidean Spaces $E_{n}$. Int. Electron. J. Geom. 2020;13:17–20.
MLA Alıyev, Najaf. “On Mappings Of $p-$ Dimensional Surfaces in Euclidean Spaces $E_{n}$”. International Electronic Journal of Geometry, vol. 13, no. 1, 2020, pp. 17-20, doi:10.36890/iejg.633279.
Vancouver Alıyev N. On Mappings Of $p-$ Dimensional Surfaces in Euclidean Spaces $E_{n}$. Int. Electron. J. Geom. 2020;13(1):17-20.