Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Kazan, Ahmet"'
In the present paper, firstly we obtain the canal hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres or pseudo hyperbolic hyperspheres whose centers lie on a spacelike curve with parallel timelike normal vector field $B_
Externí odkaz:
http://arxiv.org/abs/2408.05236
Autor:
Kazan, Ahmet, Altın, Mustafa
In this paper, for a soliton surface $\Omega=\Omega(u,v)$ associated with the Betchov-Da Rios equation, we obtain the derivative formulas of an extended Darboux frame field of a unit speed curve $u$-parameter curve $\Omega=\Omega(u,v)$ for all $v$. A
Externí odkaz:
http://arxiv.org/abs/2406.05139
In this study, we deal with the Gauss map of tubular hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linearized operators $\mathcal{L}_{1}$ (Cheng-Yau) and $\mathcal{L}_{2}$. We obtain the $\mathcal{L}_{1}$ (Cheng-Yau) operator
Externí odkaz:
http://arxiv.org/abs/2404.13075
In this paper, we study the Gauss map of rotational hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linear second order differential operators $L_1$ and $L_2$, where $L_1$ is usually called as the Cheng-Yau operator. We obtain s
Externí odkaz:
http://arxiv.org/abs/2403.19671
In this study, we give weighted mean and weighted Gaussian curvatures of two types of timelike general rotational surfaces with non-null plane meridian curves in four-dimensional Minkowski space E^4_1 with density e^({\lambda}_1x^2+{\lambda}_2^y2+{\l
Externí odkaz:
http://arxiv.org/abs/2305.18237
In this paper, we obtain the parametric expressions of the canal hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres or pseudo hyperbolic hyperspheres whose centers lie on a pseudo null, partially null or null curves in $
Externí odkaz:
http://arxiv.org/abs/2209.14715
In the present paper, firstly we obtain the general expression of the canal hypersurfaces which are formed as the envelope of a family of pseudo hyperspheres, pseudo hyperbolic hyperspheres and null hypercones in $E_{1}^{4}$ and give their some geome
Externí odkaz:
http://arxiv.org/abs/2206.12572
Autor:
Kazan, Ahmet, Altın, Mustafa
In the present paper, firstly we give the general formulas according to first fundamental form of a surface for different types of loxodromes, meridians and surfaces in E^3_1. After that, we obtain the differential equations of loxodromes on Type-I,
Externí odkaz:
http://arxiv.org/abs/2111.11147
In the present paper, firstly we obtain the general expression of canal hypersurfaces in Euclidean n-space and deal with canal hypersurfaces in Euclidean 4-space E4. We compute Gauss map, Gaussian curvature and mean curvature of canal hypersurfaces i
Externí odkaz:
http://arxiv.org/abs/2111.04448
Publikováno v:
In Journal of Geometry and Physics April 2023 186
