2018/11/21 by Adara M. Blaga, Blaga, Adara M., Antonella Nannicini +1
Biochemistry, Genetics and Molecular Biology · Engineering · #Cellular Mechanics and Interactions #Elasticity and Material Modeling #FOS: Mathematics #General Mathematics (math.GM) #Thermoelastic and Magnetoelastic Phenomena
paper · pdf · doi:10.48550/arxiv.1811.10406
openalex publication_date 2018/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We generalize the notion of metallic structure in the pseudo-Riemannian setting, define the metallic Norden structure and study its integrability. We consider metallic maps between metallic manifolds and give conditions under which they are constant. We also construct a metallic natural connection recovering as particular case the Ganchev and Mihova connection, which we extend to a metallic natural connection on the generalized tangent bundle. Moreover, we construct metallic pseudo-Riemannian structures on the tangent and cotangent bundles.