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Harmonic curvatures of null curves and the null helix in R_1^{m+2}
2007
International Mathematical Forum
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In this work we calculated the Frenet apparatus of a null curve C in R m+2 1 in terms of the Frenet apparatus of the curve C * which is the orthogonal projection of C on R m+1 . The harmonic curvatures of C are defined. We also give the theorems which provides some information about a null helix. If C is a null helix then it must be contained in a four dimensional subspace in R m+2 1 . Mathematics Subject Classification: 53A, 53C
doi:10.12988/imf.2007.07096
fatcat:3blzmknifzcfrm7ph6s7vqd3vu