Warped product submanifolds in metallic Riemannian manifolds
Cristina E. Hretcanu, Adara M. Blaga
TL;DR
This paper investigates the existence and properties of warped product submanifolds within metallic and Golden Riemannian manifolds, including semi-invariant, semi-slant, and hemi-slant types, with examples in Euclidean spaces.
Contribution
It introduces new classifications of warped product submanifolds in metallic and Golden Riemannian manifolds and provides explicit examples in Euclidean spaces.
Findings
Existence results for proper warped product submanifolds.
Characterization of semi-invariant, semi-slant, and hemi-slant warped products.
Concrete examples in Euclidean spaces.
Abstract
In this paper, we study the existence of proper warped product submanifolds in metallic (or Golden) Riemannian manifolds and we discuss about semi-invariant, semi-slant and, respectively, hemi-slant warped product submanifolds in metallic and Golden Riemannian manifolds. Also, we provide some examples of warped product submanifolds in Euclidean spaces.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · 3D Shape Modeling and Analysis · Advanced Mathematical Theories and Applications