Yazar "Ergun, Evren" için listeleme
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The Natural Lift Curve of the Spherical Indicatrix of A Spacelike Curve in Minkowski 4-Space
Ergun, Evren; Bilici, Mustafa; Caliskan, Mustafa (Editura Bibliotheca-Bibliotheca Publ House, 2015)In this study, we determine criteria of being integral curve for the geodesic spray of the natural lift curves of the spherical indicatrices of a given spacelike curve on the tangent bundle and in Minkowski 4-space. -
The Natural Lift Curve of the Spherical Indicatrix of A Spacelike Curve With Null Binormal in Minkowski 3-Space
Caliskan, Mustafa; Ergun, Evren; Bilici, Mustafa (Editura Bibliotheca-Bibliotheca Publ House, 2016)In this study, we dealt with the natural lift curves of the spherical indicatrices of a spacelike curve with null binormal. Furthermore, some interesting results about the original curve were obtained depending on the ... -
The Natural Lift Curve of the Spherical Indicatrix of A Timelike Curve in Minkowski 4-Space
Ergun, Evren (Editura Bibliotheca-Bibliotheca Publ House, 2015)In this study, some interesting results about the original timelike curve were obtained depending on the assumption that the natural lift curves should be the integral curve of the geodesic spray on the tangent bundle ... -
The Natural Lift Curves For the Spherical Indicatrices of the Timelike-Spacelike Bertrand Couple in Minkowski 3-Space
Bilici, Mustafa; Ergun, Evren; Caliskan, Mustafa (Editura Bibliotheca-Bibliotheca Publ House, 2018)This paper deals with the natural lift curves and the geodesic sprays for the spherical indicatrices of the timelike-spacelike Bertrand couple on the tangent bundle T(S-1(2)) or T(H-0(2)) in Minkowski 3-space and then give ... -
Surface Family With A Common Natural Asymptotic Lift
Bayram, Ergin; Ergun, Evren; Kasap, Emin (Editura Bibliotheca-Bibliotheca Publ House, 2015)In the present paper, we find a surface family possessing the natural lift of a given curve as a common asymptotic curve. We express necessary and sufficient conditions for the given curve such that its natural lift is an ... -
Surface Family With A Common Natural Line of Curvature Lift
Ergun, Evren; Bayram, Ergin; Kasap, Emin (Editura Bibliotheca-Bibliotheca Publ House, 2015)We construct a surface family possessing a natural lift of a given curve as a line of curvature. We obtain necessary and sufficient condition for the given curve such that its natural lift is a line of curvature on any ... -
Surface Pencil with a Common Line of Curvature in Minkowski 3-Space
Ergun, Evren; Bayram, Ergin; Kasap, Emin (Springer Heidelberg, 2014)In this paper, we analyze the problem of constructing a surface pencil from a given spacelike (timelike) line of curvature. Using the Frenet frame of the given line of curvature in Minkowski 3-space, we express the surface ...
