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pro vyhledávání: '"YAYLI, YUSUF"'
In this study, we define the unit hyper-dual sphere $S_{\mathbb{D} _{2}}$ in hyper-dual vectors $\mathbb{D}_{2}$ and we give E-Study map version in $\mathbb{D}_{2}$ which prove that $S_{\mathbb{D} _{2}}^{2} $ is isomorphism to the tangent bundle $TS_
Externí odkaz:
http://arxiv.org/abs/2412.01727
Autor:
Keskin, Ozgur, Yaylı, Yusuf
In this paper, we have first given easily the characterization of special curves with the help of the Rotation minimizing frame (RMF). Also, rectifying-type curves are generalized n-dimensional space $R_{n}$.
Comment: 14 pages, 2 figures, other
Comment: 14 pages, 2 figures, other
Externí odkaz:
http://arxiv.org/abs/1905.04540
Publikováno v:
Ukrainian Mathematical Journal (2021)
In this paper, Legendre curves on unit tangent bundle are given using rotation minimizing (RM) vector fields. Ruled surfaces corresponding to these curves are represented. Singularities of these ruled surfaces are also analyzed and classifed.
Co
Co
Externí odkaz:
http://arxiv.org/abs/1706.05321
Let $(\mathbb{M}_{1}^{2},g)$ be a Minkowski surface and $(T_1\mathbb{M}_1^2, g_1)$ its unit tangent bundle endowed with the pseudo-Riemannian induced Sasaki metric. We extend in this paper the study of the N-Legendre and N-slant curves which the inne
Externí odkaz:
http://arxiv.org/abs/1603.09259
Autor:
Aksoyak, Ferdag Kahraman, Yayli, Yusuf
In this paper, we study rotational surfaces of elliptic, hyperbolic and parabolic type with pointwise 1-type Gauss map which have spacelike profile curve in four dimensional pseudo Euclidean space E4-2 and obtain some characterizations for these rota
Externí odkaz:
http://arxiv.org/abs/1601.04932
Publikováno v:
In Optik March 2021 230
We study on a new kind of surface covered by translation and factorable (TF-type) surfaces in the three dimensional Euclidean space. We consider I and III Laplace-Beltrami operator surfaces of a TF-type surface. Then we obtain degrees and classes of
Externí odkaz:
http://arxiv.org/abs/1505.04164
Autor:
Güler, Erhan, Yaylı, Yusuf
We obtain isometric minimal helicoidal and rotational surfaces using generalized Bour's theorem in three dimensional Minkowski space. In addition, we show that the surfaces preserve minimality when their Gauss maps identically equal, choosing any dif
Externí odkaz:
http://arxiv.org/abs/1502.05708
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