Pseudo-Riemannian Submanifolds with 3-planar Geodesics

Year 2017, Volume: 2 Issue: 1, 107 - 112, 01.07.2017

Günay Öztürk , Kadri Arslan , Betül Bulca

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

Pseudo-Riemannian submanifold, geodesic normal sections

3-düzlemsel geodezikli Pseudo-Riemann Altmanifoldlar

Abstract

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.

Keywords

Pseudo-Riemann Altmanifoldlar, Geodezik normal kesitler

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