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3 Boyutlu Basit İsotropik uzayinda bazi Afin Yüzeyler

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

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
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.

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.