On the Involute-Evolute of the Pseudonull Curve in Minkowski 3-Space-Reference-Cited by-同舟云学术

On the Involute-Evolute of the Pseudonull Curve in Minkowski 3-Space

Published:2013 Issue: Volume:2013 Page:1-6
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Ozturk Ufuk¹²^ORCID,Koc Ozturk Esra Betul¹²,Ilarslan Kazim³

Affiliation:

1. Department of Mathematics, Faculty of Sciences, University of Çankiri Karatekin, 18100 Çankiri, Turkey

2. School of Mathematics & Statistical Sciences, Arizona State University, Room PSA442, Tempe, AZ 85287-1804, USA

3. Department of Mathematics, Faculty of Sciences and Arts, University of Kirikkale, 71450 Kirikkale, Turkey

Abstract

We have generalized the involute and evolute curves of the pseudonull curves in ; that is, is a spacelike curve with a null principal normal. Firstly, we have shown that there is no involute of the pseudonull curves in . Secondly, we have found relationships between the evolute curveβand the pseudonull curve in . Finally, some examples concerning these relations are given.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2013/651495.pdf

Reference6 articles.

1. Trigonometry in Lorentzian Geometry

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