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arXiv · 1804.11126

Slant submanifolds of Golden Riemannian manifolds

Oguzhan Bahadır·Siraj Uddin
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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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Oguzhan Bahadır, Siraj Uddin. 2018-04-30. Slant submanifolds of Golden Riemannian manifolds. https://arxiv.org/abs/1804.11126

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