Smarandache Curves of Null Quaternionic Curves in Minkowski 3-space PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Smarandache Curves of Null Quaternionic Curves in Minkowski 3-space PDF full book. Access full book title Smarandache Curves of Null Quaternionic Curves in Minkowski 3-space by Tanju Kahraman. Download full books in PDF and EPUB format.
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.
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.
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.
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.
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.
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.
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.
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.
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 ζon a spacelike surface M in Minkowski 3-space E 3 1 . Also, we study the equiform Frenet invariants of the spacial equiform Smarandache curves in E 3 1 . Moreover, we give some properties to these curves when the curve ζhas constant curvature or it is a circular helix. Finally, we give an example to illustrate these curves.
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.
Author: Tanju Kahraman
Author: Tanju Kahraman
Author: Esra Betul Koc Ozturk
Author: Fatma Almaz
Author: F. Almaz
Author: Yasin Unluturk
Author: E. M. Solouma 
Author: MIHRIBAN KULAHCI
Author: F. Almaz
Author: E.M. Solouma
Author: H. S. Abdel-Aziz