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Relevant bibliographies by topics / Type-2 bishop frame

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Academic literature on the topic 'Type-2 bishop frame'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Type-2 bishop frame"

1

Ahmet, Kazan, and Bayram Karadag H. "Magnetic Curves According to Bishop Frame and Type-2 Bishop Frame in Euclidean 3-Space." British Journal of Mathematics & Computer Science 22, no. 4 (2017): 1–18. https://doi.org/10.9734/BJMCS/2017/33330.

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In this paper, we define the notions of <em>T</em>-magnetic, <em>N<sub>1</sub></em>-magnetic, <em>N<sub>2</sub></em>-magnetic curves according to Bishop frame and ξ<sub>1</sub>-magnetic, ξ<sub>2</sub>-magnetic, <em>B</em>-magnetic curves according to type-2 Bishop frame in Euclidean 3-space. Also, we obtain the magnetic vector field <em>V</em> when the curve is <em>T</em>-magnetic, <em>N<sub>1</sub></em>-magnetic,<em> N<sub>2</sub></em>-magnetic trajectory of <em>V</em> according to Bishop frame and ξ<sub>1</sub>-magnetic, ξ<sub>2</sub>-magnetic, <em>B</em>-magnetic trajectory of <em>V </em>ac

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2

Yilmaz, Amine, and Emin Özyilmaz. "Relation between Darboux and type-2 Bishop frames in Euclidean space." International Journal of Geometric Methods in Modern Physics 13, no. 07 (2016): 1650101. http://dx.doi.org/10.1142/s0219887816501012.

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In this work, we investigate relationships between Darboux and type-2 Bishop frames in Euclidean space. Then, we obtain the geodesic curvature of the spherical image curve of the Darboux vector of the type-2 Bishop frame. Also, we give transition matrix between the Darboux and type-2 Bishop frames of the type-2 Bishop frames of the spherical images of the edges [Formula: see text] and [Formula: see text]. Finally, we express some interesting relations and illustrate of the examples by the aid Maple programe.

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3

Liu, Haiming, and Donghe Pei. "Cusps of Bishop Spherical Indicatrixes and Their Visualizations." Mathematical Problems in Engineering 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/215614.

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The main result of this paper is using Bishop Frame and “Type-2 Bishop Frame” to study the cusps of Bishop spherical images and type-2 Bishop spherical images which are deeply related to a space curve and to make them visualized by computer. We find that the singular points of the Bishop spherical images and type-2 Bishop spherical images correspond to the point where Bishop curvatures and type-2 Bishop curvatures vanished and their derivatives are not equal to zero. As applications and illustration of the main results, two examples are given.

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4

KORPINAR, TALAT, HATICE OZDEMIR, and ZELIHA KORPINAR. "NEW VERSION OF FERMI-WALKER DERIVATIVES ACCORDING TO THE TYPE-2 BISHOP FRAME WITH ENERGY." Journal of Science and Arts 21, no. 1 (2021): 113–24. http://dx.doi.org/10.46939/j.sci.arts-21.1-a11.

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In this paper, we obtain the Fermi-Walker derivatives of , , magnetic curves according to the type-2 Bishop frame in the space. Moreover, we obtain the energy of the Fermi-Walker derivative of magnetic curves according to the type-2 Bishop frame in space. Finally, we have energy relations of some vector fields associated with type-2 Bishop frame in the space.

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5

Kazan, Ahmet, and H. Karadağ. "Magnetic Curves According to Bishop Frame and Type-2 Bishop Frame in Euclidean 3-Space." British Journal of Mathematics & Computer Science 22, no. 4 (2017): 1–18. http://dx.doi.org/10.9734/bjmcs/2017/33330.

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6

Gurbuz, Nevin. "Bishop 2-type frame for non-null curves." International Mathematical Forum 12 (2017): 879–89. http://dx.doi.org/10.12988/imf.2017.71084.

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7

KORPINAR, ZELIHA, та TALAT KORPINAR. "SMARANDACHE Π1B CURVES OF BIHARMONIC NEW TYPE CONSTANT Π2 - SLOPE CURVES ACCORDING TO TYPE-2 BISHOP FRAME IN THE SOL SPACE". Journal of Science and Arts 21, № 3 (2021): 681–88. http://dx.doi.org/10.46939/j.sci.arts-21.3-a08.

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In this paper, we study Smarandache Π1B curves of biharmonic new type constant Π2 -slope curves according to type-2 Bishop frame in the Sol space. Type-2 Bishop equations of Smarandache Π1B curves are obtained in terms of base curve's type-2 Bishop invariants. Subsequently, we express some interesting relations.

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8

Al-Dayel, Ibrahim, and E. M. Solouma. "Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in E 3." Advances in Mathematical Physics 2021 (October 22, 2021): 1–7. http://dx.doi.org/10.1155/2021/8575443.

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In this paper, we define and investigate a special kind of ruled surfaces called type-2 Smarandache ruled surfaces related to the type-2 Bishop frame in E 3 . From this point and depending on the type-2 Bishop curvature, we provide the necessary and sufficient conditions that allow these surfaces to be developable in a minimal amount of time. Furthermore, an example is given to clear the results.

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9

Boyacıoğlu Kalkan, Özgür, and Süleyman Şenyurt. "Osculating Type Ruled Surfaces with Type-2 Bishop Frame in E3." Symmetry 16, no. 4 (2024): 498. http://dx.doi.org/10.3390/sym16040498.

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The aim of this work is to investigate osculating type ruled surfaces with a type 2-Bishop frame in E3. We accomplish this by employing the symmetry of osculating curves. We examine osculating type ruled surfaces by taking into account the curvatures of the base curve. We investigate the geometric properties of these surfaces, focusing on their cylindrical and developable characteristics. Moreover, we calculate the Gaussian and mean curvatures and provide the requirements for the surface to be flat and minimal. We determine the requirements for the curves lying on this surface to be geodesic,

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10

Mahmoud, Wageeda Mohamed, Mohamed Abdellatif Soliman, and Samar Abdel Hafez Moukhtar. "Generating and Characterization Loft Surface by Type-2-Bishop Frame in Isotropic Space." International Journal of Membrane Science and Technology 10, no. 3 (2023): 1951–68. http://dx.doi.org/10.15379/ijmst.v10i3.1864.

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This paper aims to design and generate a loft surface using three distinct curves (Hermitee cubic curve, straight line, and quadratic Bezier curve) and analyze its characteristics in isotropic space using type-2-Bishop. Moreover, the loft surface's 1st and 2nd - fundamental forms in the loft surface were investigated. In addition, their Gaussian, mean, and second Gaussian curvatures in I3 were computed using the first and second type-2-Bishop curvatures. Furthermore, the required and adequate conditions for the surface with type 2-Bishop curvatures that are developable, minimal, and Weingarten

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Conference papers on the topic "Type-2 bishop frame"

1

Yilmaz, Süha, Yasin Ünlütürk, and Abdullah Mağden. "On characterizations of some special curves of timelike curves according to the Bishop frame of type-2 in Minkowski 3-space." In INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016. Author(s), 2016. http://dx.doi.org/10.1063/1.4945908.

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