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Author: NURTEN (BAYRAK) GRSES Publisher: Infinite Study ISBN: Category : Languages : en Pages : 18
Book Description
In di⁄erential geometry, there are many important consequences and properties of curves studied by some authors. Researchers always introduce some new curves by using the existing studies.
Author: NURTEN (BAYRAK) GRSES Publisher: Infinite Study ISBN: Category : Languages : en Pages : 18
Book Description
In di⁄erential geometry, there are many important consequences and properties of curves studied by some authors. Researchers always introduce some new curves by using the existing studies.
Author: NURTEN (BAYRAK) GRSES Publisher: Infinite Study ISBN: Category : Languages : en Pages : 18
Book Description
In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame vectors of another regular curve in Minkowski 3-space R3 1.
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: 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.
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: Süleyman Şenyurt Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 12
Book Description
The paper revisits the special Viviani’s curve and introduces some special Smarandache curves according to Sabban frame. First, Frenet-Serret frame is obtained for the curve, second Saban frame is constructed by considering the tangent indicatrix. Then, the Smarandache curves are defined according to Saban frame. Finally, for each Smarandache curve, the geodesic curvatures are calculated and expressed with the principal curvatures of the special Viviani’s curve.
Author: TANJU KAHRAMAN Publisher: Infinite Study ISBN: Category : Languages : en Pages : 16
Book Description
In this paper, by considering dual Darboux frame, we define dual Smarandache curves lying fully on unit dual sphere S2 and corresponding ruled surfaces. We obtain the relationships between the elements of curvature of dual spherical curve (ruled surface) α(s) and its dual Smarandache curve (Smarandache ruled surface) α1(s) and we give an example for dual Smarandache curves of a dual spherical curve.
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.
Author: Linfan Mao Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 169
Book Description
The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe. The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.
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.
Author: NURTEN (BAYRAK) GRSES
Author: NURTEN (BAYRAK) GRSES
Author: NURTEN (BAYRAK) GRSES
Author: Fatma Almaz
Author: E. M. Solouma
Author: MIHRIBAN KULAHCI
Author: Süleyman Şenyurt
Author: TANJU KAHRAMAN
Author: Esra Betul Koc Ozturk
Author: Linfan Mao
Author: Mahmut Mak