Remarks on Almost Cosymplectic 3-Manifolds with RICCI Operators
Let M be an almost cosymplectic 3-h-a-manifold. In this paper, we prove that the Ricci operator of M is transversely Killing if and only if M is locally isometric to a product space of an open interval and a surface of constant Gauss curvature, or a unimodular Lie group equipped with a left invarian...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/4172197 |
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| _version_ | 1832546975125340160 |
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| author | Quanxiang Pan Yajie Wang |
| author_facet | Quanxiang Pan Yajie Wang |
| author_sort | Quanxiang Pan |
| collection | DOAJ |
| description | Let M be an almost cosymplectic 3-h-a-manifold. In this paper, we prove that the Ricci operator of M is transversely Killing if and only if M is locally isometric to a product space of an open interval and a surface of constant Gauss curvature, or a unimodular Lie group equipped with a left invariant almost cosymplectic structure. Some corollaries of this result and some examples illustrating main results are given. |
| format | Article |
| id | doaj-art-d5f7194e54ee4eeca0e5b0e692e8f0a6 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d5f7194e54ee4eeca0e5b0e692e8f0a62025-02-03T06:46:37ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/41721974172197Remarks on Almost Cosymplectic 3-Manifolds with RICCI OperatorsQuanxiang Pan0Yajie Wang1School of Science, Henan Institute of Technology, Henan 453003, ChinaSchool of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450046, ChinaLet M be an almost cosymplectic 3-h-a-manifold. In this paper, we prove that the Ricci operator of M is transversely Killing if and only if M is locally isometric to a product space of an open interval and a surface of constant Gauss curvature, or a unimodular Lie group equipped with a left invariant almost cosymplectic structure. Some corollaries of this result and some examples illustrating main results are given.http://dx.doi.org/10.1155/2020/4172197 |
| spellingShingle | Quanxiang Pan Yajie Wang Remarks on Almost Cosymplectic 3-Manifolds with RICCI Operators Journal of Mathematics |
| title | Remarks on Almost Cosymplectic 3-Manifolds with RICCI Operators |
| title_full | Remarks on Almost Cosymplectic 3-Manifolds with RICCI Operators |
| title_fullStr | Remarks on Almost Cosymplectic 3-Manifolds with RICCI Operators |
| title_full_unstemmed | Remarks on Almost Cosymplectic 3-Manifolds with RICCI Operators |
| title_short | Remarks on Almost Cosymplectic 3-Manifolds with RICCI Operators |
| title_sort | remarks on almost cosymplectic 3 manifolds with ricci operators |
| url | http://dx.doi.org/10.1155/2020/4172197 |
| work_keys_str_mv | AT quanxiangpan remarksonalmostcosymplectic3manifoldswithriccioperators AT yajiewang remarksonalmostcosymplectic3manifoldswithriccioperators |