Classical differential geometry of curves according to type-2 Bishop trihedra

ÖZYILMAZ, Emin

Classical differential geometry of curves according to type-2 Bishop trihedra

Emin ÖZYILMAZ (Ege Üniversitesi, Fen Fakültesi, Matematik Bölümü, İzmir, Türkiye)

Mathematical and Computational Applications

6 1

Yıl: 2011 Cilt: 16 Sayı: 4 Sayfa Aralığı: 858 - 867 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Classical differential geometry of curves according to type-2 Bishop trihedra

Öz:

In this work, we study classical differential geometry of the curves accordingto type-2 Bishop trihedra. First, we present some characterizations of a general helix, ahelix, special cases and spherical curves. Thereafter, we investigate position vector of aregular curve by a system of ordinary differential equations whose solution gives thecomponents of the position vector with respect to type-2 Bishop frame. Next we provethat the first vector field of the type-2 Bishop frame of a regular curve satisfies a vectordifferential equation of third order. Solutions of the mentioned system and vectordifferential equation have not been found. Therefore we present some specialcharacterizations introducing special planes of three dimensional Euclidean space.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	ÖZYILMAZ E (2011). Classical differential geometry of curves according to type-2 Bishop trihedra. , 858 - 867.
Chicago	ÖZYILMAZ Emin Classical differential geometry of curves according to type-2 Bishop trihedra. (2011): 858 - 867.
MLA	ÖZYILMAZ Emin Classical differential geometry of curves according to type-2 Bishop trihedra. , 2011, ss.858 - 867.
AMA	ÖZYILMAZ E Classical differential geometry of curves according to type-2 Bishop trihedra. . 2011; 858 - 867.
Vancouver	ÖZYILMAZ E Classical differential geometry of curves according to type-2 Bishop trihedra. . 2011; 858 - 867.
IEEE	ÖZYILMAZ E "Classical differential geometry of curves according to type-2 Bishop trihedra." , ss.858 - 867, 2011.
ISNAD	ÖZYILMAZ, Emin. "Classical differential geometry of curves according to type-2 Bishop trihedra". (2011), 858-867.

APA	ÖZYILMAZ E (2011). Classical differential geometry of curves according to type-2 Bishop trihedra. Mathematical and Computational Applications, 16(4), 858 - 867.
Chicago	ÖZYILMAZ Emin Classical differential geometry of curves according to type-2 Bishop trihedra. Mathematical and Computational Applications 16, no.4 (2011): 858 - 867.
MLA	ÖZYILMAZ Emin Classical differential geometry of curves according to type-2 Bishop trihedra. Mathematical and Computational Applications, vol.16, no.4, 2011, ss.858 - 867.
AMA	ÖZYILMAZ E Classical differential geometry of curves according to type-2 Bishop trihedra. Mathematical and Computational Applications. 2011; 16(4): 858 - 867.
Vancouver	ÖZYILMAZ E Classical differential geometry of curves according to type-2 Bishop trihedra. Mathematical and Computational Applications. 2011; 16(4): 858 - 867.
IEEE	ÖZYILMAZ E "Classical differential geometry of curves according to type-2 Bishop trihedra." Mathematical and Computational Applications, 16, ss.858 - 867, 2011.
ISNAD	ÖZYILMAZ, Emin. "Classical differential geometry of curves according to type-2 Bishop trihedra". Mathematical and Computational Applications 16/4 (2011), 858-867.