Timelike Surfaces of Evolution in Minkowski 3-Space

Yavuz, Yunus; Yazla, Aziz; Sariaydin, Muhammed T.

doi:10.46939/j.sci.arts-20.3-a10

Cited by 3 publications

(3 citation statements)

References 4 publications

(9 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To solve this problem, Dede defined the Flc frame for moving polynomial curves [7,8]. The Flc frame [9][10][11][12][13] and ruled surfaces on different frames [14][15][16][17][18][19][20][21][22][23] have been investigated by many researchers. Inspired by these studies, we conducted this research to create a new resource on the subject of surfaces and to form a basis for future studies.…”

Section: Introductionmentioning

confidence: 99%

On Ruled Surfaces Constructed by the Evolution of a Polynomial Space Curve

2023

View full text Add to dashboard Cite

In this paper, we present the evolutions of the ruled surfaces constructed by the tangent, normal-like, and binormal-like vector fields of a polynomial space curve. These evolutions of the ruled surfaces depend on the evolutions of their directrices using the Flc (Frenet like curve) frame along a polynomial space curve. Therefore, the evolutions of a polynomial curve are expressed in the first step of this study. Then, some geometric properties of the special ruled surfaces are investigated and examples of these surfaces are given and their graphics are drawn using the Mathematica 9 program.

show abstract

Section: Introductionmentioning

confidence: 99%

On Ruled Surfaces Constructed by the Evolution of a Polynomial Space Curve

2023

View full text Add to dashboard Cite

show abstract

“…If makes a constant angle with then the particle has a helical trajectory with the effect of the Lorentz force, [3]. For further information on these curves and applications, see [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

On Killing Magnetic Fields of Magnetic Pseudo Null Curves in R_1^3

2023

View full text Add to dashboard Cite

In present paper, we study the properties of the Killing magnetic field of a pseudo null magnetic curve in R_1^3 . We investigate for the T, N and B-magnetic cases of a pseudo null curve. We find the conditions for the Killing magnetic field to be pseudo null and derive the Frenet formulas for this field. Finally, we obtain the conditions for the transformation of the pseudo null curve to its pseudo null Killing magnetic field with equal torsions.

show abstract

“…Besides, it is easy to calculate unlike Bishop ([3]). Using quasi frame, timelike surfaces of evolution in Minkowski space and the evolutions of the ruled surface along both space curve and timelike curve were studied in ( [20], [23], [13]).…”

Section: Introductionmentioning

confidence: 99%

Evolutions of the Ruled Surfaces along a Spacelike Space Curve

KAYMANLI

Eki̇ci̇

2022

Punjab Univ. j. math.

View full text Add to dashboard Cite

In this paper, we work on the ruled surfaces obtained by a quasi normal and quasi binormal vectors along a spacelike space curve in three dimensional Minkowski space. Time evolution equations depending on quasi curvatures are obtained. Studying directional evolutions of both quasi normal and quasi binormal ruled surfaces by using their directrices, we investigate some geometric properties such as inextensibilty, developability, flatness and minimality of these ruled surfaces.

show abstract

Timelike Surfaces of Evolution in Minkowski 3-Space

Abstract: The present paper presents evolution of spherical indicatrix of a space curve according to the quasi frame in Minkowski 3-space. Some geometric properties such as fundamental forms and curvatures of the surfaces constructed by evolutions are obtained.

Cited by 3 publications

References 4 publications

On Ruled Surfaces Constructed by the Evolution of a Polynomial Space Curve

On Ruled Surfaces Constructed by the Evolution of a Polynomial Space Curve

On Killing Magnetic Fields of Magnetic Pseudo Null Curves in R_1^3

Evolutions of the Ruled Surfaces along a Spacelike Space Curve

Contact Info

Product

Resources

About