Some Characterizations of Curves in n-dimensional Euclidean Space

Abstract

In this work, we deal with a curve whose position vector can be expressed with the help  of Frenet Frame in  n dimensional Euclidean space n IE . We classify this type of curve with regards to curvature functions and get certain consequences for T constant,  N constant and constant ratio curves in n IE .

Keywords

• Constant ratio curves,position vector,W curves

Some Characterizations of Curves in n-dimensional Euclidean Space

Abstract

In this work, we deal with a curve whose position vector can be expressed with the help of Frenet Frame in  n dimensional Euclidean space n IE . We classify this type of curve with regards to curvature functions and get certain consequences for T constant,  N constant and constant ratio curves in n IE .

Keywords

• Constant ratio curves,W-curves,position vector

References

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