The (<i>α</i>,<i>p</i>)-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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/14/3046 |
| _version_ | 1797588417937145856 |
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| author | Cristina E. Hretcanu Mircea Crasmareanu |
| author_facet | Cristina E. Hretcanu Mircea Crasmareanu |
| author_sort | Cristina E. Hretcanu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T00:51:41Z |
| format | Article |
| id | doaj.art-4f224f9612674d3bbff29794e07893c6 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T00:51:41Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4f224f9612674d3bbff29794e07893c62023-11-18T20:19:44ZengMDPI AGMathematics2227-73902023-07-011114304610.3390/math11143046The (<i>α</i>,<i>p</i>)-Golden Metric Manifolds and Their SubmanifoldsCristina E. Hretcanu0Mircea Crasmareanu1Faculty of Food Engineernig, University Stefan cel Mare, 720229 Suceava, RomaniaFaculty of Mathematics, University “Al. I. Cuza”, 700506 Iasi, RomaniaThe 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.https://www.mdpi.com/2227-7390/11/14/3046almost product structurealmost complex structureΦ<sub><i>α</i>,<i>p</i></sub> structureRiemannian manifoldsubmanifold |
| spellingShingle | Cristina E. Hretcanu Mircea Crasmareanu The (<i>α</i>,<i>p</i>)-Golden Metric Manifolds and Their Submanifolds Mathematics almost product structure almost complex structure Φ<sub><i>α</i>,<i>p</i></sub> structure Riemannian manifold submanifold |
| title | The (<i>α</i>,<i>p</i>)-Golden Metric Manifolds and Their Submanifolds |
| title_full | The (<i>α</i>,<i>p</i>)-Golden Metric Manifolds and Their Submanifolds |
| title_fullStr | The (<i>α</i>,<i>p</i>)-Golden Metric Manifolds and Their Submanifolds |
| title_full_unstemmed | The (<i>α</i>,<i>p</i>)-Golden Metric Manifolds and Their Submanifolds |
| title_short | The (<i>α</i>,<i>p</i>)-Golden Metric Manifolds and Their Submanifolds |
| title_sort | i α i i p i golden metric manifolds and their submanifolds |
| topic | almost product structure almost complex structure Φ<sub><i>α</i>,<i>p</i></sub> structure Riemannian manifold submanifold |
| url | https://www.mdpi.com/2227-7390/11/14/3046 |
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