Symmetry in complex contact manifolds
| dc.authorid | 0000-0003-1958-8222 | |
| dc.contributor.author | Korkmaz, Belgin | |
| dc.date.accessioned | 2019-05-02T12:36:53Z | |
| dc.date.available | 2019-05-02T12:36:53Z | |
| dc.date.issued | 2017 | |
| dc.department | Hitit Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | |
| dc.description.abstract | Takahashi defined local ?-symmetry for Sasaki-an manifolds by the curvature condition that (()( , ) , )0gR Y ZWTX?=0 for all horizontal vector fields ,,, ,X Y ZWT ([12]). There are two generalizations to contact metric mani-folds. In [2], contact metric manifolds satisfying the cur-vature condition (1.1) are called locally ?-symmetric. In [6] another definition is given. A contact metric ma-nifold is called locally ?-symmetric if characteristic reflections are local isometries. This condition leads to infinitely many curvature conditions including the abo-ve condition (1.1). Boeckx proved that ( ) ,??-spaces sa-tisfy this condition ([5]). This gives a set of non Sasakian examples.Symmetry for complex contact metric manifolds is studied by Blair and Mihai in [3], [4]. They defined a complex contact metric manifold to be GH-locally symmetric if the reflections in the integral submani-folds of the vertical bundle are isometries. They also proved in [4] that a complex ( ) ,??-space with 1?< is GH-locally symmetric.In this paper, we will use the first generalization of local symmetry and define a complex contact metric manifold to be locally ?-symmetric (in order not to confuse with GH-locally symmetric) if it satisfies the curvature condition (1) and we will give a simple anddetailed proof showing that complex ( ) ,??-spaceswith 1?< satisfy this condition. | |
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| dc.identifier.citation | Korkmaz, B. (2017). Symmetry in complex contact manifolds. Hittite Journal of Science and Engineering, 4(2), 165-168. | |
| dc.identifier.doi | 10.17350/HJSE19030000064 | |
| dc.identifier.endpage | 168 | en_US |
| dc.identifier.issn | 2149-2123 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 165 | en_US |
| dc.identifier.uri | https://www.hjse.hitit.edu.tr/hjse/index.php/HJSE/article/view/HJSE19030000064/pdf_64 | |
| dc.identifier.uri | https://hdl.handle.net/11491/449 | |
| dc.identifier.volume | 4 | en_US |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.publisher | Hitit Üniversitesi Fen Bilimleri Enstitüsü | |
| dc.relation.ispartof | Hittite Journal of Science and Engineering | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Complex Contact Geometry | en_US |
| dc.subject | Symmetry | en_US |
| dc.subject | Local Symmetry | en_US |
| dc.title | Symmetry in complex contact manifolds | |
| dc.type | Article |
