Yazar "Kazan, Ahmet" için listeleme
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Conformally-projectively flat trans-Sasakian statistical manifolds
Kazan, Ahmet (Elsevier, 2019)In this study, the notion of trans-Sasakian statistical manifold is defined, some results for this manifold's curvature tensors are given, an example of 3-dimensional trans-Sasakian statistical manifold is constructed and ... -
e^(ax+by) Yoğunluklu E^3_1 Uzayında Sıfır Ağırlıklı Eğriliğe Sahip Null Olmayan Düzlemsel Eğrilerin Oluşturduğu Yüzeyler
Altın, Mustafa; Kazan, Ahmet (Erzincan Üniversitesi, 2020)Bu çalışmada, ... yoğunluklu ... 1 3 Lorentz-Minkowski uzayında, ikisi aynı anda sıfır olmayan ... ve ... sabitlerinin durumlarına göre, ağırlıklı eğrilikleri sıfır olan spacelike ve timelike düzlemsel eğriler yardımıyla ... -
Embankment Surfaces in Euclidean 3-Space and Their Visualizations
Kazan, Ahmet; Karadağ, Hacı Bayram (Communications in Mathematics and Applications, 2019)In the present paper, we obtain the parametric representation of an embankment surface and give an example for it. We define the notions of embankmentlike surfaces and tubembankmentlike surfaces. Furthermore, we create ... -
Helix Surfaces in Euclidean 3-Space with Density
Kazan, Ahmet; Kazan, Sema (Osman SAĞDIÇ, 2021)The differential geometry of helix curves and helix hypersurfaces in different spaces has important application areas in many disciplines. Also, the notion of weighted manifold is become to be a very popular topic for ... -
Monge hypersurfaces in euclidean 4-space with density
Altın, Mustafa; Kazan, Ahmet; Karadağ, Hacı Bayram (Gazi Üniversitesi, 2020)In the present study, firstly we give the mean and Gaussian curvatures of a Monge hypersurface in 4-dimensional Euclidean space. After this, we study on Monge hypersurfaces in with different densities. In this context, we ... -
Nonnull curves with constant weighted curvature in Lorentz-Minkowski plane with density
Altın, Mustafa; Kazan, Ahmet; Karadağ, Hacı Bayram (TÜBİTAK, 2020)In this paper, the parametric expressions of spacelike and timelike curves with constant weighted curvature for some cases of a and b in Lorentz-Minkowski plane with density e ax+by are obtained. -
Rotational hypersurfaces in Lorentz-Minkowski 4-space
Altın, Mustafa; Kazan, Ahmet (Hacettepe Üniversitesi, 2021)In this study, we study rotational hypersurfaces in 4-dimensional Lorentz-Minkowski space. We find the rotational hypersurfaces about spacelike axis according to Gaussian and mean curvatures in E-1(4) and give some results ... -
Rotational surfaces generated by cubic hermitian and cubic bezier curves
Gündüz, Hakan; Kazan, Ahmet; Karadağ, Hacı Bayram (Gazi Üniversitesi, 2019)To tackle the geometric design in adjusting shapes of rotation surfaces, firstly the rotation surfaces have been constructed by using cubic Hermitian and cubic Bezier curves with two local shape parameters. It has been ... -
Rotational surfaces generated by planar curves in E3 with density
Altın, Mustafa; Kazan, Ahmet; Karadağ, Hacı Bayram (Etamaths Publishing, 2019)In this paper, we obtain the parametric expressions of curves which have zero weighted curvature in a plane with density e(ax+by) and create the Smarandache curves of the obtaining curves. Also, we construct the rotational ... -
Ruled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in (L 3 , ax2 + by2 )
Altın, Mustafa; Kazan, Ahmet; Karadağ, Hacı Bayram (Kazım İlarslan, 2020)In this study, firstly we give the weighted curvatures of non-null planar curves in Lorentz-Minkowski space with density e^(ax2+by2) and we obtain the planar curves whose weighted curvatures vanish in this space according ... -
Ruled Surfaces Constructed by Planar Curves In Euclidean 3-Space With Density
Altın, Mustafa; Kazan, Ahmet; Karadağ, H.Bayram (Celal Bayar Üniversitesi, 2020)In the present study, firstly we recall the parametric expressions of planar curves with zero ...-curvature in Euclidean 3-space with density ... 1 and with the aid of the Frenet frame of these planar curves, we obtain the ... -
Ruled surfaces in E 3 with density
Altın, Mustafa; Kazan, Ahmet; Karadağ, Hacı Bayram (The Honam Mathematical Society (HMSK), 2019)In the present paper, we study curves in E-3 with density e(,)(ax2 + by2) where a, b is an element of R not all zero constants and give the parametric expressions of the curves with vanishing weighted curvature. Also, we ...