Published January 1, 2010
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A new version of Bishop frame and an application to spherical images
Creators
- 1. Dokuz Eylul Univ, Buca Educ Fac, Dept Math, TR-35160 Buca Izmir, Turkey
Description
In this work, we introduce a new version of Bishop frame using a common vector field as binormal vector field of a regular curve and call this frame as "Type-2 Bishop Frame" Thereafter, by translating type-2 Bishop frame vectors to the center of unit sphere of three-dimensional Euclidean space, we introduce new spherical images and call them as type-2 Bishop spherical images. Frenet-Serret apparatus of these new spherical Images are obtained in terms of base curve's type-2 Bishop invariants. Additionally, we express some interesting relations and illustrate two examples of our main results. (C) 2010 Elsevier Inc. All rights reserved.
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