Curves of -type in 3-dimensional null cone

Külahçı, Fatih; Bektaş, Mehmet; Ergüt, Mahmut

doi:10.1016/j.physleta.2007.06.019

Cited by 17 publications

(13 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Arslan and C.Özgür defined AW(k)-type submanifolds and discussed AW(k)-type curves in Euclidean space [1,18]; M. Külahcı et al studied the spacelike curves of AW(k)-type on 3-null cone [14]; recently, the current authors have spread the AW(k)-type theory to null Cartan curves in Minkowski space [23]. On the other hand, it should be noted that most papers and books on AW(k)-type null curves in Minkowski space.…”

Section: Preliminariesmentioning

confidence: 99%

Some new properties of null curves on 3-null cone and unit semi-Euclidean 3-spheres

Sun¹,

Pei²

2016

J. Nonlinear Sci. Appl.

View full text Add to dashboard Cite

The null curves on 3-null cone have the applications in the studying of horizon types. Via the pseudo-scalar product and Frenet equations, the differential geometry of null curves on 3-null cone is obtained. In the local sense, the curvature describes the contact of submanifolds with pseudo-spheres. We introduce the geometric properties of the null curves on 3-null cone and unit semi-Euclidean 3-spheres, respectively. On the other hand, we give the existence conditions of null Bertrand curves on 3-null cone and unit semi-Euclidean 3-spheres. c ⃝2015 All rights reserved.

show abstract

Section: Preliminariesmentioning

confidence: 99%

Some new properties of null curves on 3-null cone and unit semi-Euclidean 3-spheres

Sun¹,

Pei²

2016

J. Nonlinear Sci. Appl.

View full text Add to dashboard Cite

show abstract

“…For example, in [3], Liu studied curves in the lightlike cone and in [4], Liu and Mong gave representation formulas of curves in a Two and Three Dimensional Lightlike Cone. Furthermore, in [5], Külahcı and others (the authors) studied AW(k)-type curves in the 3-dimensional null cone.…”

Section: Introductionmentioning

confidence: 99%

Some characterizations of osculating curves in the lightlike cone

Külahçı

2017

bspm

View full text Add to dashboard Cite

show abstract

“…Many interesting results on curves of AW(k)-type have been obtained by many mathematicians (see [2][3][4]). For example, in [3],Özgür and Gezgin studied a Bertrand curve of AW(k)-type and furthermore, they showed that there was no such Bertrand curve of AW(1)-type and γ was of AW(3)-type if and only if it was a right circular helix.…”

Section: Introductionmentioning

confidence: 99%

“…In addition they studied weak AW(2)-type and AW(3)-type conical geodesic curves in E 3 . Kulahci, Bektaş and Ergüt investigated curves of AW(k)-type in a 3-dimensional null cone [4].…”

Section: Introductionmentioning

confidence: 99%