Research Article

Some Affine Surfaces in Simply Isotropic Space 3-Space

Volume: 5 Number: 2 December 29, 2021
TR EN

Some Affine Surfaces in Simply Isotropic Space 3-Space

Abstract

In this section, we have defined some of the special affine surfaces(Affine spheres, Affine ruled surfaces) and their dual surfaces given by the monge patch in Simply Isotropic 3-space. We also have given the Gaussian and the mean curvatures.

Keywords

References

  1. 1. Belkhelfa M.,Katou M, Affine semiparallel surfaces with constant Pick invariant, Hokkaido Mathematical Journal, 2005, 34, 355–374
  2. 2. Miller J.M, Clelland J.N, A characterization of hyperbolic affine flat, affine minimal surfaces in ,Differential Geometry and its Applications, 2016, 36,134–148
  3. 3. Katou M, New affine minimal ruled hypersurfaces, J. Math. Soc. Japan, 2006, 58, 3,869-883
  4. 4. Lone MS, Karacan MK, Dual Translation Surfaces in the three Dimensional Simply Isotropic Space , Tamkang Journal of Mathematics, 2018,49,1 67-77
  5. 5. Shikin, E. V, "Affine sphere", Encyclopedia of Mathematics, EMS Press, 1994
  6. 6. Sipus ZM, Translation surfaces of constant curvatures in a simply isotropic space, Period Math Hung, 2014, 68,160-175

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 29, 2021

Submission Date

June 25, 2021

Acceptance Date

August 22, 2021

Published in Issue

Year 2021 Volume: 5 Number: 2

APA
Karacan, M. K., & Solmaz, G. (2021). Some Affine Surfaces in Simply Isotropic Space 3-Space. Uşak Üniversitesi Fen Ve Doğa Bilimleri Dergisi, 5(2), 165-171. https://doi.org/10.47137/usufedbid.957592
AMA
1.Karacan MK, Solmaz G. Some Affine Surfaces in Simply Isotropic Space 3-Space. Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi. 2021;5(2):165-171. doi:10.47137/usufedbid.957592
Chicago
Karacan, Murat Kemal, and Gülsüm Solmaz. 2021. “Some Affine Surfaces in Simply Isotropic Space 3-Space”. Uşak Üniversitesi Fen Ve Doğa Bilimleri Dergisi 5 (2): 165-71. https://doi.org/10.47137/usufedbid.957592.
EndNote
Karacan MK, Solmaz G (December 1, 2021) Some Affine Surfaces in Simply Isotropic Space 3-Space. Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi 5 2 165–171.
IEEE
[1]M. K. Karacan and G. Solmaz, “Some Affine Surfaces in Simply Isotropic Space 3-Space”, Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi, vol. 5, no. 2, pp. 165–171, Dec. 2021, doi: 10.47137/usufedbid.957592.
ISNAD
Karacan, Murat Kemal - Solmaz, Gülsüm. “Some Affine Surfaces in Simply Isotropic Space 3-Space”. Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi 5/2 (December 1, 2021): 165-171. https://doi.org/10.47137/usufedbid.957592.
JAMA
1.Karacan MK, Solmaz G. Some Affine Surfaces in Simply Isotropic Space 3-Space. Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi. 2021;5:165–171.
MLA
Karacan, Murat Kemal, and Gülsüm Solmaz. “Some Affine Surfaces in Simply Isotropic Space 3-Space”. Uşak Üniversitesi Fen Ve Doğa Bilimleri Dergisi, vol. 5, no. 2, Dec. 2021, pp. 165-71, doi:10.47137/usufedbid.957592.
Vancouver
1.Murat Kemal Karacan, Gülsüm Solmaz. Some Affine Surfaces in Simply Isotropic Space 3-Space. Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi. 2021 Dec. 1;5(2):165-71. doi:10.47137/usufedbid.957592