2018
DOI: 10.5269/bspm.v38i2.33899
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Smarandache curves for spherical indicatrix of the Bertrand curves pair

Abstract: In this paper, we investigate special Smarandache curves with regard to Sabban frame for Bertrand partner curve spherical indicatrix. Some results have been obtained. These results were expressed depending on the Bertrand curve. Besides, we are given examples of our results.

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Cited by 4 publications
(3 citation statements)
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“…respectively. More information about Smarandache curves can be found in [1], [3], [25], [27] and etc. On the other hand, the coefficients of the first and the second fundamental forms of a local parametrization of a spacelike or timelike surface…”
Section: Introductionmentioning
confidence: 99%
“…respectively. More information about Smarandache curves can be found in [1], [3], [25], [27] and etc. On the other hand, the coefficients of the first and the second fundamental forms of a local parametrization of a spacelike or timelike surface…”
Section: Introductionmentioning
confidence: 99%
“…Since the Smarandache curves play an important role in Smarandache geometry, many geometers have been interested in these curves. More information about Smarandache curves can be found in [1], [2], [18], [19].…”
Section: Introductionmentioning
confidence: 99%
“…Turgut ve Yılmaz, Minkowski uzay-zamanda konum vektörü başka bir eğrinin Frenet vektörleri tarafından oluşturulan yeni eğriyi Smarandache eğrisi olarak adlandırmışlardır [14]. Daha sonra bu eğriler farklı uzaylarda farklı çatılar ele alınarak incelenmiş ve yeni sonuçlar elde edilmiştir.…”
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