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      On weak r-Helix submanifolds

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          Abstract

          In this paper, we investigate special curves on a weak r-helix submanifold in Euclidean n-space E^{n}. Also, we give the important relations between weak r-helix submanifolds and the special curves such as line of curvature, asymptotic curve and helix line.

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          Author and article information

          Journal
          2012-05-10
          2012-05-18
          10.1080/1726037X.2012.10698616
          1205.2186

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          53A04, 53B25, 53C40, 53C50
          arXiv admin note: text overlap with arXiv:1203.1609
          math.DG

          Geometry & Topology

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