Author: Tanju Kahraman
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 6
Book Description
In this paper, we define Smarandache curves of null quaternionic curves in the semi-Euclidean space 31E and obtaine that curvatures of null quaternionic curves have some relations for Smarandache curves.
Smarandache Curves of Null Quaternionic Curves in Minkowski 3-space
Author: Tanju Kahraman
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 6
Book Description
In this paper, we define Smarandache curves of null quaternionic curves in the semi-Euclidean space 31E and obtaine that curvatures of null quaternionic curves have some relations for Smarandache curves.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 6
Book Description
In this paper, we define Smarandache curves of null quaternionic curves in the semi-Euclidean space 31E and obtaine that curvatures of null quaternionic curves have some relations for Smarandache curves.
On Pseudospherical Smarandache Curves in Minkowski 3-Space
Author: Esra Betul Koc Ozturk
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15
Book Description
In this paper we define nonnull and nullpseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15
Book Description
In this paper we define nonnull and nullpseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space.
Approximation To The Smarandache Curves in the The Null Cone
Author: Fatma Almaz
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
In this paper, we study the Smarandache curves according to the asymptotic orthonormal frame in Null Cone Q3. By using cone frame formulas, we obtain some characterizations of the Smarandache curves and introduce cone frenet invariants of these curves.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
In this paper, we study the Smarandache curves according to the asymptotic orthonormal frame in Null Cone Q3. By using cone frame formulas, we obtain some characterizations of the Smarandache curves and introduce cone frenet invariants of these curves.
A NOTE ON SPECIAL SMARANDACHE CURVES IN THE NULL CONE
Author: F. Almaz
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14
Book Description
As it is well-known, the geometry of curve in three-dimensions is actually characterized by Frenet vectors. In this paper, we obtain Smarandache curves by using cone frame formulas in null cone Q3 . Also, we give an example related to these curves.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14
Book Description
As it is well-known, the geometry of curve in three-dimensions is actually characterized by Frenet vectors. In this paper, we obtain Smarandache curves by using cone frame formulas in null cone Q3 . Also, we give an example related to these curves.
Smarandache Curves of a Spacelike Curve According to the Bishop Frame of Type-2
Author: Yasin Unluturk
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15
Book Description
A third order vectorial diļ¬erential equation of position vector of Smarandache breadth curves has been obtained in Minkowski 3-space.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15
Book Description
A third order vectorial diļ¬erential equation of position vector of Smarandache breadth curves has been obtained in Minkowski 3-space.
Special timelike Smrandache curves in Minkowski 3-space
Author: E. M. Solouma
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16
Book Description
In Smarandache geometry, a regular non-null curve in Minkowski 3-space, whose position vector is collected by the Frenet frame vectors of other regular non-null curve, is said to be Smarandache curve.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16
Book Description
In Smarandache geometry, a regular non-null curve in Minkowski 3-space, whose position vector is collected by the Frenet frame vectors of other regular non-null curve, is said to be Smarandache curve.
ASSESMENT OF SMARANDACHE CURVES IN THE NULL CONE Q2
Author: MIHRIBAN KULAHCI
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
In this paper, we give Smarandache curves according to the asymptotic orthonormal frame in null cone Q2. By using cone frame formulas, we present some characterizations of Smarandache curves and calculate cone frenet invariants of these curves. Also, we illustrate these curves with an example.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
In this paper, we give Smarandache curves according to the asymptotic orthonormal frame in null cone Q2. By using cone frame formulas, we present some characterizations of Smarandache curves and calculate cone frenet invariants of these curves. Also, we illustrate these curves with an example.
Special equiform Smarandache curves in Minkowski space-time
Author: E.M. Solouma
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 7
Book Description
In this paper, we introduce special equiform Smarandache curves reference to the equiform Frenet frame of a curve on a spacelike surface M in Minkowski 3-space. Also, we study the equiform Frenet invariants of the spacial equiform Smarandache curves. Moreover, we give some properties to these curves when the curve has constant curvature or it is a circular helix. Finally, we give an example to illustrate these curves.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 7
Book Description
In this paper, we introduce special equiform Smarandache curves reference to the equiform Frenet frame of a curve on a spacelike surface M in Minkowski 3-space. Also, we study the equiform Frenet invariants of the spacial equiform Smarandache curves. Moreover, we give some properties to these curves when the curve has constant curvature or it is a circular helix. Finally, we give an example to illustrate these curves.
A NOTE ON SPECIAL SMARANDACHE CURVES IN THE NULL CONE Q3
Author: F. Almaz
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14
Book Description
As it is well-known, the geometry of curve in three-dimensions is actually characterized by Frenet vectors. In this paper, we obtain Smarandache curves by using cone frame formulas in null cone Q3 . Also, we give an example related to these curves.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14
Book Description
As it is well-known, the geometry of curve in three-dimensions is actually characterized by Frenet vectors. In this paper, we obtain Smarandache curves by using cone frame formulas in null cone Q3 . Also, we give an example related to these curves.
Smarandache curves of some special curves in the Galilean 3-space
Author: H. S. Abdel-Aziz
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
Book Description
In the present paper, we consider a position vector of an arbitrary curve in the three-dimensional Galilean space G3. Furthermore, we give some conditions on the curvatures of this arbitrary curve to study special curves and their Smarandache curves. Finally, in the light of this study, some related examples of these curves are provided and plotted.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
Book Description
In the present paper, we consider a position vector of an arbitrary curve in the three-dimensional Galilean space G3. Furthermore, we give some conditions on the curvatures of this arbitrary curve to study special curves and their Smarandache curves. Finally, in the light of this study, some related examples of these curves are provided and plotted.