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.
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
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.
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
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. Aralık 2021;5(2):165-171. doi:10.47137/usufedbid.957592
Chicago
Karacan, Murat Kemal, ve Gülsüm Solmaz. “Some Affine Surfaces in Simply Isotropic Space 3-Space”. Uşak Üniversitesi Fen Ve Doğa Bilimleri Dergisi 5, sy. 2 (Aralık 2021): 165-71. https://doi.org/10.47137/usufedbid.957592.
EndNote
Karacan MK, Solmaz G (01 Aralık 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 ve G. Solmaz, “Some Affine Surfaces in Simply Isotropic Space 3-Space”, Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi, c. 5, sy. 2, ss. 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 (Aralık 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 ve Gülsüm Solmaz. “Some Affine Surfaces in Simply Isotropic Space 3-Space”. Uşak Üniversitesi Fen Ve Doğa Bilimleri Dergisi, c. 5, sy. 2, 2021, ss. 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.