Abstract
In this paper, we study any submanifold of a locally decomposable metallic Riemannian manifold in the case that the codimension of the submanifold is greater than or equal to the rank of the set of tangent vector fields of the induced structure on it by the metallic Riemannian structure of the ambient manifold. Finally, we give two examples of submanifolds in locally decomposable metallic Riemannian manifolds.
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Gök, M. A study of submanifolds of metallic Riemannian manifolds. J. Geom. 112, 34 (2021). https://doi.org/10.1007/s00022-021-00596-1
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DOI: https://doi.org/10.1007/s00022-021-00596-1