$ N(κ)- $contact Metric Manifolds with Generalized Tanaka-Webster Connection
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866915095194370048 |
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| author | Ünal, İnan Altin, Mustafa |
| author_facet | Ünal, İnan Altin, Mustafa |
| contents | In this paper we work on $N(κ)$-contact metric manifolds with a generalized Tanaka-Webster connection . We obtain some curvature properties. It is proven that if a $N(κ)$-contact metric manifold with generalized Tanaka-Webster connection is K-contact then it is an example of generalized Sasakian space form. Also we examine some flatness and symmetric conditions of concircular curvature tensor on a $N(κ)$-contact metric manifolds with a generalized Tanaka-Webster connection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_02536 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | $ N(κ)- $contact Metric Manifolds with Generalized Tanaka-Webster Connection Ünal, İnan Altin, Mustafa Differential Geometry Mathematical Physics 53C15, 53C25, 53D10 In this paper we work on $N(κ)$-contact metric manifolds with a generalized Tanaka-Webster connection . We obtain some curvature properties. It is proven that if a $N(κ)$-contact metric manifold with generalized Tanaka-Webster connection is K-contact then it is an example of generalized Sasakian space form. Also we examine some flatness and symmetric conditions of concircular curvature tensor on a $N(κ)$-contact metric manifolds with a generalized Tanaka-Webster connection. |
| title | $ N(κ)- $contact Metric Manifolds with Generalized Tanaka-Webster Connection |
| topic | Differential Geometry Mathematical Physics 53C15, 53C25, 53D10 |
| url | https://arxiv.org/abs/2004.02536 |