Pseudo-Riemannian Submanifolds with 3-Planar Geodesics
classification
🧮 math.DG
keywords
pseudo-riemanniansubmanifoldsnormalplanarconditionconsiderfinallygeodesic
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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.
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