The (<i>α</i>,<i>p</i>)-Golden Metric Manifolds and Their Submanifolds

Abstract

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.

Keywords

• almost product structure
• almost complex structure
• Φ_{<i>α</i>,<i>p</i>} structure
• Riemannian manifold
• submanifold