Research Article
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3 Boyutlu Basit İsotropik uzayinda bazi Afin Yüzeyler

Year 2021, Volume: 5 Issue: 2, 165 - 171, 29.12.2021

Murat Kemal Karacan Gülsüm Solmaz

https://doi.org/10.47137/usufedbid.957592

Abstract

Bu makalede, Basit İzotropik 3-uzayda monge yaması ile verilen bazı özel afin yüzeyleri (Afin küreler, Afin regle yüzeyler) ve bunların dual yüzeylerini tanımladık. Ayrıca Gauss ve ortalama eğriliklerini de verdik.

Keywords

Afin küreler Afin regle yüzeyler Dual yüzeyler 3 boyutlu basit isotropik uzay

References

  • 1. Belkhelfa M.,Katou M, Affine semiparallel surfaces with constant Pick invariant, Hokkaido Mathematical Journal, 2005, 34, 355–374
  • 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. Katou M, New affine minimal ruled hypersurfaces, J. Math. Soc. Japan, 2006, 58, 3,869-883
  • 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. Shikin, E. V, "Affine sphere", Encyclopedia of Mathematics, EMS Press, 1994
  • 6. Sipus ZM, Translation surfaces of constant curvatures in a simply isotropic space, Period Math Hung, 2014, 68,160-175

Some Affine Surfaces in Simply Isotropic Space 3-Space

Year 2021, Volume: 5 Issue: 2, 165 - 171, 29.12.2021

Murat Kemal Karacan Gülsüm Solmaz

https://doi.org/10.47137/usufedbid.957592

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

Afin spheres Afine ruled surfaces Dual surfaces Simply Isotropic 3-space

References

  • 1. Belkhelfa M.,Katou M, Affine semiparallel surfaces with constant Pick invariant, Hokkaido Mathematical Journal, 2005, 34, 355–374
  • 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. Katou M, New affine minimal ruled hypersurfaces, J. Math. Soc. Japan, 2006, 58, 3,869-883
  • 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. Shikin, E. V, "Affine sphere", Encyclopedia of Mathematics, EMS Press, 1994
  • 6. Sipus ZM, Translation surfaces of constant curvatures in a simply isotropic space, Period Math Hung, 2014, 68,160-175
There are 6 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Murat Kemal Karacan 0000-0002-2832-9444

Gülsüm Solmaz This is me 0000-0002-0872-7701

Publication Date December 29, 2021
Submission Date June 25, 2021
Acceptance Date August 22, 2021
Published in Issue Year 2021 Volume: 5 Issue: 2

Cite

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 Karacan MK, Solmaz G. Some Affine Surfaces in Simply Isotropic Space 3-Space. Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi. December 2021;5(2):165-171. doi:10.47137/usufedbid.957592
Chicago Karacan, Murat Kemal, and Gülsüm Solmaz. “Some Affine Surfaces in Simply Isotropic Space 3-Space”. Uşak Üniversitesi Fen Ve Doğa Bilimleri Dergisi 5, no. 2 (December 2021): 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 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, 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 2021), 165-171. https://doi.org/10.47137/usufedbid.957592.
JAMA 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, 2021, pp. 165-71, doi:10.47137/usufedbid.957592.
Vancouver Karacan MK, Solmaz G. Some Affine Surfaces in Simply Isotropic Space 3-Space. Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi. 2021;5(2):165-71.