The (α,p)-Golden Metric Manifolds and Their Submanifolds

The (α,p)-Golden Metric Manifolds and Their Submanifolds

The notion of a golden structure was introduced 15 years ago by the present authors and has been a constant interest of several geometers. Now, we propose a new generalization apart from that called the metallic structure, which is also considered by the authors. By adding a compatible Riemannian me...

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Veröffentlicht in:Mathematics (Basel) 2023-07, Vol.11 (14), p.3046
Hauptverfasser: Hretcanu, Cristina E., Crasmareanu, Mircea
Format: Artikel
Sprache:eng
Schlagworte:
almost complex structure
almost product structure
Equality
Geometry
Manifolds (Mathematics)
Mathematical research
Riemannian manifold
submanifold
Topological manifolds
Φα,p structure
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Zusammenfassung:The notion of a golden structure was introduced 15 years ago by the present authors and has been a constant interest of several geometers. Now, we propose a new generalization apart from that called the metallic structure, which is also considered by the authors. By adding a compatible Riemannian metric, we focus on the study of the structure induced on submanifolds in this setting and its properties. Also, to illustrate our results, some suitable examples of this type of manifold are presented.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11143046