Some Properties of a Concircular Curvature Tensor on Generalized Sasakian-Space-Forms
The aim of the present paper is to study and investigate the geometrical properties of a concircular curvature tensor on generalized Sasakian-space-forms. In this manner, we obtained results for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline&...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | AppliedMath |
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| Online Access: | https://www.mdpi.com/2673-9909/2/4/35 |
| _version_ | 1797461699088875520 |
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| author | Vasant Chavan |
| author_facet | Vasant Chavan |
| author_sort | Vasant Chavan |
| collection | DOAJ |
| description | The aim of the present paper is to study and investigate the geometrical properties of a concircular curvature tensor on generalized Sasakian-space-forms. In this manner, we obtained results for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϕ</mi></semantics></math></inline-formula>-concircularly flat, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϕ</mi></semantics></math></inline-formula>-semisymmetric, locally concircularly symmetric and locally concircularly <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϕ</mi></semantics></math></inline-formula>-symmetric generalized Sasakian-space-forms. Finally, we construct examples of the generalized Sasakian-space-forms to verify some results. |
| first_indexed | 2024-03-09T17:23:05Z |
| format | Article |
| id | doaj.art-74769f60943142d88f5e969ff584b654 |
| institution | Directory Open Access Journal |
| issn | 2673-9909 |
| language | English |
| last_indexed | 2024-03-09T17:23:05Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | AppliedMath |
| spelling | doaj.art-74769f60943142d88f5e969ff584b6542023-11-24T12:59:17ZengMDPI AGAppliedMath2673-99092022-11-012460962010.3390/appliedmath2040035Some Properties of a Concircular Curvature Tensor on Generalized Sasakian-Space-FormsVasant Chavan0Department of Mathematics, Sri J.C.B.M. College, Sringeri, Chickmagaluru 577139, IndiaThe aim of the present paper is to study and investigate the geometrical properties of a concircular curvature tensor on generalized Sasakian-space-forms. In this manner, we obtained results for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϕ</mi></semantics></math></inline-formula>-concircularly flat, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϕ</mi></semantics></math></inline-formula>-semisymmetric, locally concircularly symmetric and locally concircularly <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϕ</mi></semantics></math></inline-formula>-symmetric generalized Sasakian-space-forms. Finally, we construct examples of the generalized Sasakian-space-forms to verify some results.https://www.mdpi.com/2673-9909/2/4/35generalized Saskian-space-formconcircular curvature tensorlocally <i>ϕ</i>-symmetric |
| spellingShingle | Vasant Chavan Some Properties of a Concircular Curvature Tensor on Generalized Sasakian-Space-Forms AppliedMath generalized Saskian-space-form concircular curvature tensor locally <i>ϕ</i>-symmetric |
| title | Some Properties of a Concircular Curvature Tensor on Generalized Sasakian-Space-Forms |
| title_full | Some Properties of a Concircular Curvature Tensor on Generalized Sasakian-Space-Forms |
| title_fullStr | Some Properties of a Concircular Curvature Tensor on Generalized Sasakian-Space-Forms |
| title_full_unstemmed | Some Properties of a Concircular Curvature Tensor on Generalized Sasakian-Space-Forms |
| title_short | Some Properties of a Concircular Curvature Tensor on Generalized Sasakian-Space-Forms |
| title_sort | some properties of a concircular curvature tensor on generalized sasakian space forms |
| topic | generalized Saskian-space-form concircular curvature tensor locally <i>ϕ</i>-symmetric |
| url | https://www.mdpi.com/2673-9909/2/4/35 |
| work_keys_str_mv | AT vasantchavan somepropertiesofaconcircularcurvaturetensorongeneralizedsasakianspaceforms |