Author: Melih Turgut
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 5
Book Description
A regular curve in Minkowski space-time, whose position vector is composed by Frenet frame vectors on another regular curve, is called a Smarandache Curve.
Smarandache Curves in Minkowski Space-time
Author: Melih Turgut
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 5
Book Description
A regular curve in Minkowski space-time, whose position vector is composed by Frenet frame vectors on another regular curve, is called a Smarandache Curve.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 5
Book Description
A regular curve in Minkowski space-time, whose position vector is composed by Frenet frame vectors on another regular curve, is called a Smarandache Curve.
Special equiform Smarandache curves in Minkowski space-time
Author: E.M. Solouma
Publisher: Infinite Study
ISBN:
Category :
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 E31.
Publisher: Infinite Study
ISBN:
Category :
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 E31.
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 null pseudospherical 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 null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space.
Special Smarandache Curves According to Bishop Frame in Euclidean Spacetime
Author: E. M. Solouma
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 9
Book Description
In this paper, we introduce some special Smarandache curves according to Bishop frame in Euclidean 3-space E3.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 9
Book Description
In this paper, we introduce some special Smarandache curves according to Bishop frame in Euclidean 3-space E3.
On spacelike equiform-Bishop Smarandache curves on S21
Author: E. M. Solouma
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 17
Book Description
In this paper, we introduce the equiform-Bishop frame of a spacelike curve r lying fully on S21 in Minkowski 3-space R31. By using this frame, we investigate the equiform-Bishop Frenet invariants of special spacelike equiform-Bishop Smarandache curves of a spacelike base curve in R31 . Furthermore, we study the geometric properties of these curves when the spacelike base curve r is specially contained in a plane. Finally, we givea computational example to illustrate these curves.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 17
Book Description
In this paper, we introduce the equiform-Bishop frame of a spacelike curve r lying fully on S21 in Minkowski 3-space R31. By using this frame, we investigate the equiform-Bishop Frenet invariants of special spacelike equiform-Bishop Smarandache curves of a spacelike base curve in R31 . Furthermore, we study the geometric properties of these curves when the spacelike base curve r is specially contained in a plane. Finally, we givea computational example to illustrate 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 differential 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 differential equation of position vector of Smarandache breadth curves has been obtained in Minkowski 3-space.
Spacelike Smarandache Curves of Timelike Curves in Anti de Sitter 3-Space
Author: Mahmut Mak
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16
Book Description
In this paper, we investigate special spacelike Smarandache curves of timelike curves according to Sabban frame in Anti de Sitter 3-Space. Moreover, we give the relationship between the base curve and its Smarandache curve associated with theirs Sabban Frames.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16
Book Description
In this paper, we investigate special spacelike Smarandache curves of timelike curves according to Sabban frame in Anti de Sitter 3-Space. Moreover, we give the relationship between the base curve and its Smarandache curve associated with theirs Sabban Frames.
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.
SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE
Author: MUHAMMED CETIN
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 14
Book Description
In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-space and we give some differential geometric properties of Smarandache curves. Also we find the centers of the osculating spheres and curvature spheres of Smarandache curves.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 14
Book Description
In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-space and we give some differential geometric properties of Smarandache curves. Also we find the centers of the osculating spheres and curvature spheres of 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 null pseudospherical Smarandache curves according to the Sabban frame of a spacelikecurve 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 null pseudospherical Smarandache curves according to the Sabban frame of a spacelikecurve lying on pseudosphere in Minkowski 3-space.