N-BISHOP DARBOUX VECTOR OF A TIMELIKE CURVE IN MINKOWSKI 3-SPACE

Author:

SAMANCI HATICE KUSAK1

Affiliation:

1. Bitlis Eren University, Faculty of Science and Art, Department of Mathematics, 13000 Bitlis, Turkey

Abstract

It is known that a Bishop frame of a curve is one of the effective alternative approach in the differential geometry. Recently, several important works have been done about the Bishop frames. The aim of our paper is to investigate the N-Bishop frame for timelike curves in Minkowski space. We define the N-Bishop frame for the timelike curve in Minkowski space. Then, we consider some properties of the frame. Moreover, we describe the N-Bishop Darboux frame for the first time. Additionally, we compute some geometrical characterizations for the N-Bishop Darboux axis and momentum rotation vector.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Reference15 articles.

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2. Bukcu, B., Karacan, M.K., Journal of Dynamical Systems and Geometric Theories, 6(1), 27, 2008.

3. Yücesan, A., Çöken, A.C., Ayyildiz, N., Applied Mathematics and Computation, 155(2), 345, 2004.

4. Bukcu, B., Karacan, M.K., Communications Faculty of Sciences University of Ankara Series A1-Mathematics and Statistics, 57(1), 13, 2008.

5. Karacan, M.K., SDÜ Fen Edebiyat Fakültesi Fen Dergisi, 3(1), 80, 2008.

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