The (α,p)-Golden Metric Manifolds and Their Submanifolds-Reference-Cited by-同舟云学术

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

Published:2023-07-10 Issue:14 Volume:11 Page:3046
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Hretcanu Cristina E.¹^ORCID,Crasmareanu Mircea²^ORCID

Affiliation:

1. Faculty of Food Engineernig, University Stefan cel Mare, 720229 Suceava, Romania

2. Faculty of Mathematics, University “Al. I. Cuza”, 700506 Iasi, Romania

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/14/3046/pdf

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5. The generalized principle of the golden section and its applications in mathematics, science, and engineering;Stakhov;Chaos Solitons Fractals,2005