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

Author

Listed:
  • Cristina E. Hretcanu

    (Faculty of Food Engineernig, University Stefan cel Mare, 720229 Suceava, Romania
    These authors contributed equally to this work.)

  • Mircea Crasmareanu

    (Faculty of Mathematics, University “Al. I. Cuza”, 700506 Iasi, Romania
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Cristina E. Hretcanu & Mircea Crasmareanu, 2023. "The ( α , p )-Golden Metric Manifolds and Their Submanifolds," Mathematics, MDPI, vol. 11(14), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3046-:d:1190414
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    References listed on IDEAS

    as
    1. Stakhov, Alexey, 2007. "The generalized golden proportions, a new theory of real numbers, and ternary mirror-symmetrical arithmetic," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 315-334.
    2. Ayşe Torun & Mustafa Özkan, 2023. "Submanifolds of Almost-Complex Metallic Manifolds," Mathematics, MDPI, vol. 11(5), pages 1-10, February.
    3. Stakhov, A.P., 2005. "The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 263-289.
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