Geometry of Chen invariants in statistical warped product manifolds
| Autor: | Pooja Bansal, Falleh R. Al-Solamy, Cengizhan Murathan, Bang-Yen Chen, Mohammad Shahid |
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| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Physics and Astronomy (miscellaneous) biology 010308 nuclear & particles physics 010102 general mathematics biology.organism_classification Submanifold Mathematics::Geometric Topology 01 natural sciences Statistical manifold Chen Computer Science::Sound Product (mathematics) 0103 physical sciences Mathematics::Differential Geometry 0101 mathematics Mathematics::Symplectic Geometry Mathematics |
| Zdroj: | International Journal of Geometric Methods in Modern Physics. 17:2050081 |
| ISSN: | 1793-6977 0219-8878 |
| DOI: | 10.1142/s0219887820500814 |
| Popis: | In this paper, we derive Chen inequality for statistical submanifold of statistical warped product manifolds [Formula: see text]. Further, we derive Chen inequality for Legendrian statistical submanifold in statistical warped product manifolds [Formula: see text]. We also provide some applications of derived inequalities in a statistical warped product manifold which is equivalent to a hyperbolic space. Moreover, we construct new examples of statistical warped product manifolds to support results. |
| Databáze: | OpenAIRE |
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