Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Essin Turhan"'
Autor:
Talat Körpınar, Essin Turhan
Publikováno v:
Acta Scientiarum: Technology, Vol 37, Iss 1, Pp 77-83 (2015)
In this paper, we study S-tangent surfaces according to Sabban frame in the Lorentzian Heisenberg group Heis³. We obtain differential equations about in terms of their geodesic curvatures in the Lorentzian Heisenberg group Heis³. Finally, we find e
Externí odkaz:
https://doaj.org/article/f03da7978a8648e28de5dbb5c4c15142
Autor:
Talat Körpinar, Essin Turhan
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 32, Iss 2, Pp 73-82 (2014)
In this paper, we introduce constant Π₁- slope curves according to type-2 Bishop frame in the Heisenberg group Heis³. We characterize the biharmonic constant Π₁- slope curves in terms of their Bishop curvatures. Finally, we find out their expl
Externí odkaz:
https://doaj.org/article/220f2930e46b4c74bc0eba6f744bb534
Autor:
Talat Körpınar, Essin Turhan
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 32, Iss 2, Pp 45-54 (2014)
In this paper, we construct a new method for inextensible flows of curves in E³. Using the Frenet frame of the given curve, we present partial differential equations. We give some characterizations for curvatures of a curve in E³.
Externí odkaz:
https://doaj.org/article/1b3ab97b75c74669837a51c6bb5d2afb
Autor:
Talat Körpinar, Essin Turhan
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 32, Iss 1, Pp 229-235 (2014)
In this paper, we study pedal curves of tangent surfaces of biharmonic B-general helices according to Bishop frame in the Heisenberg group Heis³. We give necessary and sufficient conditions for B-general helices to be biharmonic according to Bishop
Externí odkaz:
https://doaj.org/article/743d682d10da44d7b43b1f868e5d4d35
Autor:
Talat Körpınar, Essin Turhan
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 32, Iss 1, Pp 35-42 (2014)
In this paper, we study D-tangent surfaces of timelike biharmonic D-helices according to Darboux frame on non-degenerate timelike surfaces in the Lorentzian Heisenberg group H. We obtain parametric equation D-tangent surfaces of timelike biharmonic D
Externí odkaz:
https://doaj.org/article/c106e076eec640c8bfecf7a208c05a9c
Autor:
Talat Körpınar, Essin Turhan
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 32, Iss 1, Pp 137-144 (2014)
In this paper, we study Bishop equations for Smarandache TM₁ curves of biharmonic B-slant helices according to Bishop frame in the Heisenberg group Heis³. Finally, we characterize the Smarandache TM₁ curves of biharmonic B-slant helices in terms
Externí odkaz:
https://doaj.org/article/8a0ca15d020f4736bb79171cd01bd174
Autor:
Talat Körpinar, Essin Turhan
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 31, Iss 2, Pp 265-271 (2013)
In this paper, we study b-Smarandache tm₂ curves of biharmonic new type b-slant helix in the Sol³. We characterize the b-Smarandache tm₂ curves in terms of their Bishop curvatures. Finally, we find out their explicit parametric equations in the
Externí odkaz:
https://doaj.org/article/c741a8ffae514868bc539c088ec83cd2
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 31, Iss 2, Pp 121-128 (2013)
In this paper, we study inextensible flows of b-m₁ developable surfaces of biharmonic new type b-slant helix in the Sol³. We characterize one parameter family of the b-m₁ developable surfaces in terms of their Bishop curvatures.
Externí odkaz:
https://doaj.org/article/994f5557a42145b7987f553c3f022a2f
Autor:
Essin Turhan, Talat Körpınar
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 31, Iss 1, Pp 99-104 (2013)
In this paper, we study general helices in the Sol³. We characterize the general helices in terms of their curvature and torsion. Finally, we find out their explicit parametric equations in the Sol³.
Externí odkaz:
https://doaj.org/article/9346fe6846944ca0bbd468475dc22e5b
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 31, Iss 2, Pp 77-82 (2013)
In this paper, we study dual B-focal curves of timelike curves in the D₁³. We characterize dual timelike B-focal curves in terms of their focal curvatures.
Externí odkaz:
https://doaj.org/article/5a29bf2764a94b18b472a16fefd01749