SLANT SUBMANIFOLDS OF GOLDEN RIEMANNIAN MANIFOLDS

Authors

  • Oğuzhan Bahadır Department of Mathematics, Faculty of Science and Letters, K.S.U. Kahramanmaras/TURKEY
  • Siraj Uddin Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589 Jeddah, Saudi Arabia

DOI:

https://doi.org/10.30495/jme.v13i0.985

Keywords:

Invariant submanifolds, anti-invariant, slant submanifolds, Golden structure, Riemannian manifolds

Abstract

In this paper, we study slant submanifolds of Riemannian manifolds with Golden structure. A Riemannian manifold $(\tilde{M},\tilde{g},{\varphi})$ is called a Golden Riemannian manifold if the $(1,1)$ tensor field ${\varphi}$ on $\tilde{M}$ is a golden structure, that is ${\varphi}^{2}={\varphi}+I$ and the metric $\tilde{g}$ is ${\varphi}-$ compatible. First, we get some new results for submanifolds of a Riemannian manifold with Golden structure. Later we characterize slant submanifolds of a Riemannian manifold with Golden structure and provide some non-trivial examples of slant submanifolds of Golden Riemannian manifolds.

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Published

2019-04-10

Issue

Vol. 13

Section

Vol. 13, No. 4, (2019)

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