Pseudo-Riemannian Submanifolds with 3-planar Geodesics

Yıl 2017, Cilt: 2 Sayı: 1, 107 - 112, 01.07.2017

Günay Öztürk , Kadri Arslan , Betül Bulca

Öz

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.

Anahtar Kelimeler

Pseudo-Riemannian submanifold, geodesic normal sections

3-düzlemsel geodezikli Pseudo-Riemann Altmanifoldlar

Öz

Bu makalede, 3-düzlemsel normal kesitlere sahip Pseudo-Riemann Altmanifoldları çalıştık.

Pseudo-Riemann Altmanifoldları üzerinde W-eğrilerini(helis) ele aldık. Son olarak, Pseudo-Riemann Altmanifoldları üzerinde

bir normal kesitin W-eğrisi olması için gerek ve yeter koşulu verdik.

Anahtar Kelimeler

Pseudo-Riemann Altmanifoldlar, Geodezik normal kesitler

Kaynakça

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