B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms
Abstract The aim of the present paper is to analyze sharp type inequalities including the scalar and Ricci curvatures of anti-invariant Riemannian submersions in Kenmotsu space forms $$K_{s}(\varepsilon )$$ K s ( ε ) . We give non-trivial examples for anti-invariant Riemannian submersions, investiga...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Arabian Journal of Mathematics |
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| Online Access: | https://doi.org/10.1007/s40065-023-00453-w |
| _version_ | 1797266907899887616 |
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| author | Murat Polat |
| author_facet | Murat Polat |
| author_sort | Murat Polat |
| collection | DOAJ |
| description | Abstract The aim of the present paper is to analyze sharp type inequalities including the scalar and Ricci curvatures of anti-invariant Riemannian submersions in Kenmotsu space forms $$K_{s}(\varepsilon )$$ K s ( ε ) . We give non-trivial examples for anti-invariant Riemannian submersions, investigate some curvature relations between the total space and fibres according to vertical and horizontal cases of $$\xi $$ ξ . Moreover, we acquire Chen-Ricci inequalities on the $$\ker \vartheta _{*}$$ ker ϑ ∗ and $$(\ker \vartheta _{*})^{\bot }$$ ( ker ϑ ∗ ) ⊥ distributions for anti-invariant Riemannian submersions from Kenmotsu space forms according to vertical and horizontal cases of $$\xi $$ ξ . |
| first_indexed | 2024-04-25T01:08:09Z |
| format | Article |
| id | doaj.art-63b6bc5768df499381cc63d1e4f9d661 |
| institution | Directory Open Access Journal |
| issn | 2193-5343 2193-5351 |
| language | English |
| last_indexed | 2024-04-25T01:08:09Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Arabian Journal of Mathematics |
| spelling | doaj.art-63b6bc5768df499381cc63d1e4f9d6612024-03-10T12:06:03ZengSpringerOpenArabian Journal of Mathematics2193-53432193-53512024-01-0113118119610.1007/s40065-023-00453-wB. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space formsMurat Polat0Department of Mathematics, Faculty of Science, Dicle UniversityAbstract The aim of the present paper is to analyze sharp type inequalities including the scalar and Ricci curvatures of anti-invariant Riemannian submersions in Kenmotsu space forms $$K_{s}(\varepsilon )$$ K s ( ε ) . We give non-trivial examples for anti-invariant Riemannian submersions, investigate some curvature relations between the total space and fibres according to vertical and horizontal cases of $$\xi $$ ξ . Moreover, we acquire Chen-Ricci inequalities on the $$\ker \vartheta _{*}$$ ker ϑ ∗ and $$(\ker \vartheta _{*})^{\bot }$$ ( ker ϑ ∗ ) ⊥ distributions for anti-invariant Riemannian submersions from Kenmotsu space forms according to vertical and horizontal cases of $$\xi $$ ξ .https://doi.org/10.1007/s40065-023-00453-w53C2553C1553C43 |
| spellingShingle | Murat Polat B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms Arabian Journal of Mathematics 53C25 53C15 53C43 |
| title | B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms |
| title_full | B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms |
| title_fullStr | B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms |
| title_full_unstemmed | B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms |
| title_short | B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms |
| title_sort | b y chen ricci inequalities for anti invariant riemannian submersions in kenmotsu space forms |
| topic | 53C25 53C15 53C43 |
| url | https://doi.org/10.1007/s40065-023-00453-w |
| work_keys_str_mv | AT muratpolat bychenricciinequalitiesforantiinvariantriemanniansubmersionsinkenmotsuspaceforms |