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Dergiler / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 11 Issue: 1

On Submanifolds in a Riemannian Manifold with Golden Structure

Mobin Ahmad(Integral University)
Mohammad Aamir Qayyoom(Integral University)0000-0001-5942-1561
Sayfa
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Yayın Tarihi
2019-06-30
DOI
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We also construct an example on submanifold of a golden Riemannian manifold.

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Amaç & Hipotez:A golden Riemannian structure $(J,g)$ on a Riemannian manifold is given by a tensor field $J$ of type $(1,1)$ satisfying the golden section relation $J^{2}=J+I,$ and a pure Riemannian metric $g$, that is a metric satisfying $g(JX,Y)=g(X,JY).$ We investigate some fundamental properties of the induced structure on submanifolds immersed in golden Riemannian manifolds.
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Temel Bulgular & Veri:We obtain effective relations for some induced structures on submanifolds of codimension 2.
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Sonuç & Katkı:We also construct an example on submanifold of a golden Riemannian manifold.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Golden structure · Riemannian manifold · totally geodesics

Abstract

A golden Riemannian structure $(J,g)$ on a Riemannian manifold is given by a tensor field $J$ of type $(1,1)$ satisfying the golden section relation $J^{2}=J+I,$ and a pure Riemannian metric $g$, that is a metric satisfying $g(JX,Y)=g(X,JY).$ We investigate some fundamental properties of the induced structure on submanifolds immersed in golden Riemannian manifolds. We obtain effective relations for some induced structures on submanifolds of codimension 2. We also construct an example on submanifold of a golden Riemannian manifold.

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Bu Makaleye Atıf Yap

Ahmad, M., Qayyoom, M. A. (2019). On Submanifolds in a Riemannian Manifold with Golden Structure. Turkish Journal of Mathematics and Computer Science, Volume: 11 Issue: 1. https://ajindex.com/articles/1324886

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Kaynakça (19)

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