Published January 1, 2010
| Version v1
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NEW SPHERICAL INDICATRICES AND THEIR CHARACTERIZATIONS
Creators
- 1. Dokuz Eylul Univ, Buca Educ Fac, Dept Math, TR-35160 Buca Izmir, Turkey
- 2. Ege Univ, Fac Sci, Dept Math, Izmir, Turkey
Description
In this work, we introduce new spherical images by translating Bishop frame vectors of a regular curve to the center of the unit sphere of the three dimensional Euclidean space. Such curves are called as Bishop Spherical Indicatrices. Then, the Frenet-Serret apparatus of these new curves is obtained in terms of base curve's Bishop invariants. Additionally, illustrations of two examples are presented.
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