Turkish Journal of Mathematics and Computer Science

Yazarlar: Mobin AHMAD, Mohammad Aamir QAYYOOM

Konular:Matematik

Anahtar Kelimeler:Goldstructure,Riemannian manifold,Totally geodesics,Normal induced structure,Killing vector fields

Özet: 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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