Some results on D-homothetic deformation of (LCS)2n+1-manifolds
The present paper deals with the study of a D-homothetic deformation of an extended generalized ϕ-recurrent (LCS)2n+1-manifolds their geometrical properties are discussed. Finally, we construct an example of an extended generalized ϕ-recurrent (LCS)3-manifolds that are neither ϕ-recurrent nor genera...
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| Format: | Article |
| Language: | English |
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Sciendo
2019-06-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
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| Online Access: | https://doi.org/10.2478/AMNS.2019.1.00012 |
| _version_ | 1797219110458753024 |
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| author | Yadav Sunil Kumar |
| author_facet | Yadav Sunil Kumar |
| author_sort | Yadav Sunil Kumar |
| collection | DOAJ |
| description | The present paper deals with the study of a D-homothetic deformation of an extended generalized ϕ-recurrent (LCS)2n+1-manifolds their geometrical properties are discussed. Finally, we construct an example of an extended generalized ϕ-recurrent (LCS)3-manifolds that are neither ϕ-recurrent nor generalized ϕ-recurrent under such deformation is constructed. |
| first_indexed | 2024-04-24T12:28:26Z |
| format | Article |
| id | doaj.art-477c004b75fb47e5bc57028f9b1ce369 |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-04-24T12:28:26Z |
| publishDate | 2019-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-477c004b75fb47e5bc57028f9b1ce3692024-04-08T07:36:49ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562019-06-014111312810.2478/AMNS.2019.1.00012Some results on D-homothetic deformation of (LCS)2n+1-manifoldsYadav Sunil Kumar0Department of Mathematics, Poornima college of Engineering, ISI-6, RIICO, Institutional Area, Sitapura, Jaipur, 302022 Rajasthan, IndiaThe present paper deals with the study of a D-homothetic deformation of an extended generalized ϕ-recurrent (LCS)2n+1-manifolds their geometrical properties are discussed. Finally, we construct an example of an extended generalized ϕ-recurrent (LCS)3-manifolds that are neither ϕ-recurrent nor generalized ϕ-recurrent under such deformation is constructed.https://doi.org/10.2478/AMNS.2019.1.00012generalized recurrent (lcs)2n+1-manifoldsextended generalized ϕ-recurrent (lcs)2n+1-manifoldsconcircular curvature tensorϕ-sectional curvature and d-homothetic deformation53c1053c2553c40 |
| spellingShingle | Yadav Sunil Kumar Some results on D-homothetic deformation of (LCS)2n+1-manifolds Applied Mathematics and Nonlinear Sciences generalized recurrent (lcs)2n+1-manifolds extended generalized ϕ-recurrent (lcs)2n+1-manifolds concircular curvature tensor ϕ-sectional curvature and d-homothetic deformation 53c10 53c25 53c40 |
| title | Some results on D-homothetic deformation of (LCS)2n+1-manifolds |
| title_full | Some results on D-homothetic deformation of (LCS)2n+1-manifolds |
| title_fullStr | Some results on D-homothetic deformation of (LCS)2n+1-manifolds |
| title_full_unstemmed | Some results on D-homothetic deformation of (LCS)2n+1-manifolds |
| title_short | Some results on D-homothetic deformation of (LCS)2n+1-manifolds |
| title_sort | some results on d homothetic deformation of lcs 2n 1 manifolds |
| topic | generalized recurrent (lcs)2n+1-manifolds extended generalized ϕ-recurrent (lcs)2n+1-manifolds concircular curvature tensor ϕ-sectional curvature and d-homothetic deformation 53c10 53c25 53c40 |
| url | https://doi.org/10.2478/AMNS.2019.1.00012 |
| work_keys_str_mv | AT yadavsunilkumar someresultsondhomotheticdeformationoflcs2n1manifolds |