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Search Results: 1 - 10 of 198 matches for " ESSIN TURHAN "
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NEXTENSIBLE FLOWS OF b-TANGENT DEVELOPABLE SURFACES OF BIHARMONIC NEW TYPE b-SLANT HELICES ACCORDING TO BISHOP FRAME IN THE SOL SPACE Sol^3
TALAT KORPINAR,ESSIN TURHAN
Journal of Science and Arts , 2012,
Abstract: In this paper, we study inextensible flows of b-btangent developable surfaces of biharmonic new type b-bslant helix in the Sol^3 . We obtain partial differential equation for tangent developable surfaces of biharmonic new type b-slant helix in terms of their Bishop curvatures. Finally, we find explicit parametric equations one-parameter family of the b-btangent developable surface of a unit speed non-geodesic biharmonic new b-bslant helix in Sol^3.
PARALLEL SURFACES TO S-TANGENT SURFACES OF BIHARMONIC S-CURVES ACCORDING TO SABBAN FRAME IN HEISENBERG GROUP HEIS 3
TALAT K?RPINAR,ESSIN TURHAN
Journal of Science and Arts , 2012,
Abstract: In this paper, we study parallel surfaces to S - tangent surfaces according to Sabban frame in the Heisenberg group Heis3. We characterize parallel surfaces to S - tangent surfaces of the biharmonic curves in terms of their geodesic curvature in the Heisenberg group Heis3. Finally, we find explicit parametric equations of parallel surfaces S - tangent surfaces according to Sabban Frame.
CHARACTERIZATION OF PARALLEL SURFACES TO S-α SURFACES IN HEISENBERG GROUP HEIS3
TALAT K?RPINAR,ESSIN TURHAN
Journal of Science and Arts , 2012,
Abstract: In this paper, we study parallel surfaces to S-α surfaces according to Sabban frame in the Heisenberg group Heis3
TIMELIKE BIHARMONIC S-CURVES ACCORDING TO SABBAN FRAME IN (S12)H
TALAT K?RPINAR,ESSIN TURHAN
Journal of Science and Arts , 2012,
Abstract: n this paper, we study timelike biharmonic curves according to Sabban frame in the (S1^2)H. We characterize the timelike biharmonic curves in terms of their geodesic curvature. Finally, we find out their explicit parametric equations according to Sabban Frame.
BIHARMONIC S-CURVES ACCORDING TO SABBAN FRAME IN HEISENBERG GROUP Heis3
Talat K?rpinar,Essin Turhan
Boletim da Sociedade Paranaense de Matemática , 2013,
Abstract: In this paper, we study biharmonic curves accordig to Sabban frame in the Heisenberg group Heis3. We characterize the biharmonic curves in terms of their geodesic curvature and we prove that all of biharmonic curves are helices in the Heisenberg group Heis3. Finally, we find out their explicit parametric equations according to Sabban Frame.
PARAMETRIC EQUATIONS OF GENERAL HELICES IN THE SOL SPACE Sol3
Essin Turhan,Talat K?rpinar
Boletim da Sociedade Paranaense de Matemática , 2013,
Abstract: 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.
Bertrand mate of timelike biharmonic general helices in the Lorentzian E(1,1)
Talat K?rp?nar,Essin Turhan
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali , 2012, DOI: 10.1478/aapp.901a3
Abstract: In this paper we study a Bertrand mate of timelike biharmonic general helices in the Lorentzian group of rigid motions E(1,1). Finally, we find out their explicit parametric equations.
Construction of B-focal curves of spacelike biharmonic B-slant helices according to Bishop frame in E(1,1)
Talat K?rp?nar,Essin Turhan
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali , 2012, DOI: 10.1478/aapp.901a4
Abstract: In this paper we find parametric equations of B-focal curves of spacelike biharmonic B-slant helices according to Bishop frame in terms of Bishop curvatures in the Lorentzian group of rigid motions E(1,1).
INVOLUTE CURVES OF BIHARMONIC CURVES IN SL2(R)
TALAT KORPINAR,VEDAT ASIL,ESSIN TURHAN
Journal of Science and Arts , 2011,
Abstract: . In this paper, we study involute curves of biharmonic curves in the SL2(R). Finally, we find out their explicit parametric equations.
DARBOUX ROTATION AXIS OF SPACELIKE BIHARMONIC HELICES WITH TIMELIKE NORMAL IN THE LORENTZIAN E(1,1)
Talat K?rp?nar,Essin Turhan
Boletim da Sociedade Paranaense de Matemática , 2013,
Abstract: In this paper, we study Darboux rotation axis for spacelike biharmonichelices in the Lorentzian group of rigid motions E(1, 1). We obtain equation of Darboux vector of spacelike biharmonic helices in the Lorentzian E(1, 1).
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