Position vector of a time-like slant helix in Minkowski 3-space
نویسندگان
چکیده
منابع مشابه
Time-like Involutes of a space-like helix in Minkowski space-time
In this work, we deal with a classical differential geometry topic in Minkowski space-time. First, we prove that there are no timelike involutes of a time-like evolute. In the light of this result, we observed that involute curve transforms to a time-like curve when evolute is a space-like helix with a time-like principal normal. Then, we investigated relationships among Frenet-Serret apparatus...
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متن کاملOn slant helices in Minkowski space E 31
We consider a curve α = α(s) in Minkowski 3-space E31 and denote by {T,N,B} the Frenet frame of α. We say that α is a slant helix if there exists a fixed direction U of E31 such that the function 〈N(s), U〉 is constant. In this work we give characterizations of slant helices in terms of the curvature and torsion of α. MSC: 53C40, 53C50
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In this paper, position vectors of a time-like curve with respect to standard frame of Minkowski space E31 are studied in terms of Frenet equations. First, we prove that position vector of every time-like space curve in Minkowski space E31 satisfies a vector differential equation of fourth order. The general solution of mentioned vector differential equation has not yet been found. By special c...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2010
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.11.026