CHARACTERIZATIONS OF SPACE CURVES WITH 1-TYPE DARBOUX INSTANTANEOUS ROTATION VECTOR

CHARACTERIZATIONS OF SPACE CURVES WITH 1-TYPE DARBOUX INSTANTANEOUS ROTATION VECTOR

In this study, by using Laplace and normal Laplace operators, we give some characterizations for the Darboux instantaneous rotation vector field of the curves in the Euclidean 3-space $E^{3} $. Further, we give necessary and sufficient conditions for unit speed space curves to have 1-type Darboux ve...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2016, 31(2), , pp.379-388
Hauptverfasser: Arslan, Kadri, Kocayigit, Huseyin, Onder, Mehmet
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:In this study, by using Laplace and normal Laplace operators, we give some characterizations for the Darboux instantaneous rotation vector field of the curves in the Euclidean 3-space $E^{3} $. Further, we give necessary and sufficient conditions for unit speed space curves to have 1-type Darboux vectors. Moreover, we obtain some characterizations of helices according to Darboux vector. KCI Citation Count: 0
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.2016.31.2.379