Listar Notas de Matemática por autor "Turhan, Essin"
Mostrando ítems 1-16 de 16
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Bertrand mate of null biharmonic curves in the Lorentzian Heisenberg group Heis.
Körpinar, Talat; Turhan, Essin (Venezuela, 2010-11-30)In this paper, we study null biharmonic curves and we characterize null biharmonic curves in terms of their curvature and torsion in the Lorentzian Heisenberg group Heis3. Moreover, we construct parametric equations of ... -
Biharmonic curves in the special three-dimensional Kentmotsu manifold K with η-parallel Ricci tenso.
Körpinar, Talat; Turhan, Essin (SABER-ULA, Venezuela, 2011-06-30)In this paper, we study biharmonic curves in the special three-dimensional Kenmotsu manifold K with ´-parallel Ricci tensor. We characterize the biharmonic curves in terms of their curvature and torsion. -
Characterization inextensible flows of developable surfaces associated focal curve of spacelike curve with timelike binormal in E31
Körpinar, Talat; Altay, Gülden; Turhan, Essin (SABER-ULA, Venezuela, 2011-06-30)In this paper, we study inextensible flows of developable surfaces associated with focal curves of spacelike curves with timelike binormal in Minkowski 3-space E3 1 . We show that if flow of this developable surface is ... -
Dual spacelike elastic biharmonic curves with spacelike principal normal according to dual Bishop frames D3 1
Körpinar, Talat; Turhan, Essin; Ergüt, Mahmut (2011-10-17)In this paper, we study dual spacelike elastic biharmonic curves with spacelike principal normal in dual Lorentzian space D3 1. -
Evolute curves of biharmonic curves in the special three-dimensional Ø-Ricci symmetric Para-Sasakiam manifold P.
Körpinar, Talat; Turhan, Essin (SABER-ULA, Venezuela, 2011-06-30)In this paper, we study evolute curve of biharmonic curve in the special three-dimensional Á¡Ricci symmetric para-Sasakian manifold P. We characterize evolute curve of biharmonic curve in terms of curvature and torsion of ... -
Frenet equations of biharmonic curves in terms of exponential maps in the special 3-dimensional Kenmotsu manifold
Körpinar, Talat; Ergüt, Mahmut; Turhan, Essin (2011-10-20)In this article, we study matrix representation of biharmonic curves in 3-dimensional Kenmotsu manifold. We characterize Frenet frame of the biharmonic curves in terms of their curvature and torsion in special 3-dimensional ... -
Frenet equations of biharmonic curves in terms of exponential maps in the special three-dimensional o-Ricci symmetric para-sasakian manifold P
Körpinar, Talat; Turhan, Essin; Asil, Vedat (2011-10-17)In this paper, we study biharmonic curves in the special three-dimensional o-Ricci Symmetric Para-Sasakian Manifold P. Moreover, we construct matrix representation of biharmonic curves in terms of exponential maps in the ... -
Mannheim curves in terms of its timelike biharmonic partner curves in the Lorentzian Heisenberg Group Heis3
Turhan, Essin; Körpinar, Talat (Venezuela, 2010-11-30)In this paper, we study Mannheim curves in the Lorentzian Heisenberg group Heis3. We characterize Mannheim curves in terms of its horizontal biharmonic partner curves in the Lorentzian Heisenberg group Heis3 -
Matrix representation for involute curves of biharmonic curves in terms of exponential maps in the special three-dimensional o-Ricci Symmetric Para-Sasakian Manifold P
Körpinar, Talat; Turhan, Essin; Asil, Vedat (2011-10-20)In this paper, we study involute curve of biharmonic curve in the special three-dimensional o-Ricci symmetric para-Sasakian manifold P. We obtain matrix representation for involute curve of biharmonic curve in terms of ... -
New inextensible flows of tangent developable surfaces in Euclidian 3-space E3
Körpinar, Talat; Altay, Gülden; Turhan, Essin (2011-10-20)In this paper, we study inextensible flows of tangent developable surfaces in Euclidean 3-space E3. We obtain results for minimal tangent developable surfaces in Euclidean 3-space E3. -
New representations of focal curves in the special o−Ricci symmetric Para-Sasakian Manifold P
Körpinar, Talat; Turhan, Essin (2011-10-20)In this paper, we study matrix representations of focal curves in terms of biharmonic curves in the special three-dimensional o−Ricci symmetric para-Sasakian manifold P. We construct new parametric equations of focal curves ... -
Null biharmonic curves in the Lorentzian Heinsenberg group Heis3
Turhan, Essin; Körpinar, Talat (Venezuela, 2010-11-30)In this paper, we study biharmonic curves and we characterize null biharmonic curves in terms of their curvature and torsion in the Lorentzian Heisenberg group Heis3. We give necessary and sufficient conditions for null ... -
On characterization bertrand mate of timelike biharmonic curves in the lorentzian Heis3
Körpinar, Talat; Turhan, Essin; Jebril, Iqbal H. (SABER-ULA, Venezuela, 2011-06-30)In this paper, we study non-geodesic timelike biharmonic curves and we construct parametric equations for Bertrand mate of timelike biharmonic curves in the Lorentzian Heisenberg group Heis -
On characterization dual spacelike biharmonic curves with spacelike principal normal according to dual Bishop frames in the dual Lorentzian space D3 1
Körpinar, Talat; Turhan, Essin (2011-01-11)In this paper, we study dual spacelike biharmonic curves with spacelike principal normal in dual Lorentzian space D3 1: We characterize curvature and torsion of dual spacelike biharmonic curves with spacelike principal ... -
Spacelike biharmonic general helices with timelike normal in the lorentzian group of rigid motions E(2)
Körpinar, Talat; Ergüt, Mahmut; Turhan, Essin (SABER-ULA, Venezuela, 2011-06-30)In this paper, we study spacelike biharmonic general helices in the Lorentzian group of rigid motions E(2). We characterize the spacelike biharmonic general helices in terms of their curvature and torsion in the Lorentzian ... -
Weierstrass representation formula in the group of rigid motions E(2)
Turhan, Essin; Körpinar, Talat (Venezuela, 2010-11-02)In this paper, we prove a Weierstrass representation formula for simply connected immersed maximal surfaces in E(2). Using the Weierstrass representation we also give a simple proof of the fact that maximal immersions is ...