SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME
نویسندگان
چکیده
منابع مشابه
Some Characterizations of Slant Helices in the Euclidean Space E
In this work, the notion of a slant helix is extended to the space E. First, we introduce the type-2 harmonic curvatures of a regular curve. Thereafter, by using this, we present some necessary and sufficient conditions for a curve to be a slant helix in Euclidean n-space. We also express some integral characterizations of such curves in terms of the curvature functions. Finally, we give some c...
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Inclined curves or so-called general helices are well-known curves in the classical differential geometry of space curves [9] and we refer to the reader for recent works on this type of curves [6, 12]. Recently, Izumiya and Takeuchi have introduced the concept of slant helix in Euclidean 3-space E saying that the normal lines makes a constant angle with a fixed direction [7]. They characterize ...
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ژورنال
عنوان ژورنال: Mathematical Sciences and Applications E-Notes
سال: 2015
ISSN: 2147-6268
DOI: 10.36753/mathenot.421333