Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras
We study almost contact metric structures on 5-dimensional nilpotent Lie algebras and investigate the class of left invariant almost contact metric structures on corresponding Lie groups. We determine certain classes that a five-dimensional nilpotent Lie group can not be equipped with.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2016-08-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2073-8994/8/8/76 |
| _version_ | 1798003428836769792 |
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| author | Nülifer Özdemir Mehmet Solgun Şirin Aktay |
| author_facet | Nülifer Özdemir Mehmet Solgun Şirin Aktay |
| author_sort | Nülifer Özdemir |
| collection | DOAJ |
| description | We study almost contact metric structures on 5-dimensional nilpotent Lie algebras and investigate the class of left invariant almost contact metric structures on corresponding Lie groups. We determine certain classes that a five-dimensional nilpotent Lie group can not be equipped with. |
| first_indexed | 2024-04-11T12:07:38Z |
| format | Article |
| id | doaj.art-7eb6df97d39341f7b7e9950e82a0bd01 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T12:07:38Z |
| publishDate | 2016-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-7eb6df97d39341f7b7e9950e82a0bd012022-12-22T04:24:41ZengMDPI AGSymmetry2073-89942016-08-01887610.3390/sym8080076sym8080076Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie AlgebrasNülifer Özdemir0Mehmet Solgun1Şirin Aktay2Department of Mathematics, Anadolu University, 26470 Eskişehir, TurkeyDepartment of Mathematics, Bilecik Seyh Edebali University, 11210 Bilecik, TurkeyDepartment of Mathematics, Anadolu University, 26470 Eskişehir, TurkeyWe study almost contact metric structures on 5-dimensional nilpotent Lie algebras and investigate the class of left invariant almost contact metric structures on corresponding Lie groups. We determine certain classes that a five-dimensional nilpotent Lie group can not be equipped with.http://www.mdpi.com/2073-8994/8/8/765-dimensional nilpotent Lie algebraalmost contact metric structureleft invariant almost contact metric structure |
| spellingShingle | Nülifer Özdemir Mehmet Solgun Şirin Aktay Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras Symmetry 5-dimensional nilpotent Lie algebra almost contact metric structure left invariant almost contact metric structure |
| title | Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras |
| title_full | Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras |
| title_fullStr | Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras |
| title_full_unstemmed | Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras |
| title_short | Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras |
| title_sort | almost contact metric structures on 5 dimensional nilpotent lie algebras |
| topic | 5-dimensional nilpotent Lie algebra almost contact metric structure left invariant almost contact metric structure |
| url | http://www.mdpi.com/2073-8994/8/8/76 |
| work_keys_str_mv | AT nuliferozdemir almostcontactmetricstructureson5dimensionalnilpotentliealgebras AT mehmetsolgun almostcontactmetricstructureson5dimensionalnilpotentliealgebras AT sirinaktay almostcontactmetricstructureson5dimensionalnilpotentliealgebras |