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Pseudo-Riemannian Submanifolds with 3-Planar Geodesics

Differential Geometry 2015-05-18 v1

Abstract

In the present paper we study pseudo-Riemannian submanifolds which have 3-planar geodesic normal sections.We consider W-curves (helices) on pseudo-Riemannian submanifolds. Finally, we give neccessary and sufficient condition for a normal section to be a W-curve on pseudo-Riemannian submanifolds.

Keywords

Cite

@article{arxiv.1505.04176,
  title  = {Pseudo-Riemannian Submanifolds with 3-Planar Geodesics},
  author = {Kadri Arslan and Betül Bulca and Günay Öztürk},
  journal= {arXiv preprint arXiv:1505.04176},
  year   = {2015}
}

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8 pages