Special Smarandache curves in the Euclidean space
AT Ali - International Journal of Mathematical Combinatorics, 2010 - books.google.com
AT Ali
International Journal of Mathematical Combinatorics, 2010•books.google.com… In the light of the existing literature, in [4] authors introduced special curves by FrenetSerret
frame vector fields in Minkowski space-time. A regular curve in Minkowski space-time,
whose position vector is composed by Frenet frame vectors on another regular curve, is
called a Smarandache Curve [4]. In this work, we study special Smarandache Curve in the
Euclidean space. We hope these results will be helpful to mathematicians who are
specialized on mathematical modeling. …
frame vector fields in Minkowski space-time. A regular curve in Minkowski space-time,
whose position vector is composed by Frenet frame vectors on another regular curve, is
called a Smarandache Curve [4]. In this work, we study special Smarandache Curve in the
Euclidean space. We hope these results will be helpful to mathematicians who are
specialized on mathematical modeling. …
Abstract
In this work, we introduce some special Smarandache curves in the Euclidean space. We study Frenet-Serret invariants of a special case. Besides, we illustrate examples of our main results.
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