Remarks on metallic warped product manifolds

Abstract

We characterize the metallic structure on the product of two metallic manifolds in terms of metallic maps and provide a necessary and sufficient condition for the warped product of two locally metallic Riemannian manifolds to be locally metallic. The particular case of product manifolds is discussed and an example of metallic warped product Riemannian manifold is provided.

10 pages

References in corpus (1)

• A note on doubly warped product spaces

Cited by in corpus (3)

• Warped product submanifolds in metallic Riemannian manifolds
• Warped product pointwise bi-slant submanifolds in metallic Riemannian manifolds
• Curvature constrained on base for $(2+m)$-Einstein warped product manifolds