QUATERNIONIC BERTRAND CURVES IN EUCLEDIAN 4-SPACE

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Tarih

2013

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Int Center Scientific Research & Studies

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, by using the similar idea of Matsuda and Yorozu [12], we prove that if bitorsion of a quatenionic curve alpha is no vanish, then there is no quaternionic curve in E-4 is a Bertrand curve. Then we define (1, 3) type Bertrand curves for quatenionic curve in Euclidean 4-space. We give some characterizations for a (1, 3) type quaternionic Bertrand curves in Euclidean 4-space by means of the curvature functions of the curve.

Açıklama

Anahtar Kelimeler

Euclidean 4-space; Quaternionic Frenet frame; (1, 3) type Bertrand curve

Kaynak

Bulletin of Mathematical Analysis and Applications

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

5

Sayı

3

Künye