Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds
Hermite-like manifolds, which admit two different, almost complex structures, can be considered a general concept of Hermitian manifolds. Factoring in the effects of these two complex structures on the radical, screen, and transversal spaces, a new classification of lightlike hypersurfaces of Hermit...
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| Format: | Article |
| Language: | English |
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Naim Çağman
2023-12-01
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| Series: | Journal of New Theory |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/3498050 |
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| _version_ | 1849723776003997696 |
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| author | Ömer Aksu Mehmet Gülbahar |
| author_facet | Ömer Aksu Mehmet Gülbahar |
| author_sort | Ömer Aksu |
| collection | DOAJ |
| description | Hermite-like manifolds, which admit two different, almost complex structures, can be considered a general concept of Hermitian manifolds. Factoring in the effects of these two complex structures on the radical, screen, and transversal spaces, a new classification of lightlike hypersurfaces of Hermite-like manifolds is proposed in the present paper. Moreover, an example of screen semi-invariant lightlike hypersurfaces of Hermite-like manifolds is provided. Besides, some results on these hypersurfaces admitting a statistical structure are obtained. Further, screen semi-invariant lightlike hypersurfaces are investigated on Kaehler-like statistical manifolds. In addition, several characteristics of totally geodesic, mixed geodesic, and totally umbilical screen lightlike hypersurfaces are obtained. Finally, the need for further research is discussed. |
| format | Article |
| id | doaj-art-1c504fc6d7554e42a886b8882dbc2fc7 |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-1c504fc6d7554e42a886b8882dbc2fc72025-08-20T03:10:56ZengNaim ÇağmanJournal of New Theory2149-14022023-12-0145839410.53570/jnt.13815492425Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like ManifoldsÖmer Aksu0https://orcid.org/0009-0003-6473-5145Mehmet Gülbahar1https://orcid.org/0000-0001-6950-7633HARRAN ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜHARRAN UNIVERSITYHermite-like manifolds, which admit two different, almost complex structures, can be considered a general concept of Hermitian manifolds. Factoring in the effects of these two complex structures on the radical, screen, and transversal spaces, a new classification of lightlike hypersurfaces of Hermite-like manifolds is proposed in the present paper. Moreover, an example of screen semi-invariant lightlike hypersurfaces of Hermite-like manifolds is provided. Besides, some results on these hypersurfaces admitting a statistical structure are obtained. Further, screen semi-invariant lightlike hypersurfaces are investigated on Kaehler-like statistical manifolds. In addition, several characteristics of totally geodesic, mixed geodesic, and totally umbilical screen lightlike hypersurfaces are obtained. Finally, the need for further research is discussed.https://dergipark.org.tr/en/download/article-file/3498050hermite-like manifoldscomplex structureslightlike hypersurfaces |
| spellingShingle | Ömer Aksu Mehmet Gülbahar Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds Journal of New Theory hermite-like manifolds complex structures lightlike hypersurfaces |
| title | Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds |
| title_full | Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds |
| title_fullStr | Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds |
| title_full_unstemmed | Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds |
| title_short | Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds |
| title_sort | screen semi invariant lightlike hypersurfaces on hermite like manifolds |
| topic | hermite-like manifolds complex structures lightlike hypersurfaces |
| url | https://dergipark.org.tr/en/download/article-file/3498050 |
| work_keys_str_mv | AT omeraksu screensemiinvariantlightlikehypersurfacesonhermitelikemanifolds AT mehmetgulbahar screensemiinvariantlightlikehypersurfacesonhermitelikemanifolds |