Types of Submanifolds in Metallic Riemannian Manifolds: A Short Survey

Cristina E. Hretcanu and Adara M. Blaga
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Cristina E. Hretcanu: Faculty of Food Engineering, Stefan cel Mare University of Suceava, 720229 Suceava, Romania
Adara M. Blaga: Faculty of Mathematics and Computer Science, West University of Timisoara, 300223 Timisoara, Romania

Mathematics, 2021, vol. 9, issue 19, 1-22

Abstract: We provide a brief survey on the properties of submanifolds in metallic Riemannian manifolds. We focus on slant, semi-slant and hemi-slant submanifolds in metallic Riemannian manifolds and, in particular, on invariant, anti-invariant and semi-invariant submanifolds. We also describe the warped product bi-slant and, in particular, warped product semi-slant and warped product hemi-slant submanifolds in locally metallic Riemannian manifolds, obtaining some results regarding the existence and nonexistence of non-trivial semi-invariant, semi-slant and hemi-slant warped product submanifolds. We illustrate all these by suitable examples.

Keywords: metallic Riemannian manifold; warped product submanifold; slant; semi-slant; hemi-slant; bi-slant submanifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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