On Total Shear Curvature of Surfaces in E^{n+2}
In the present study we consider surfaces in Euclidean (n+2)-space Eⁿ⁺². Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in Eⁿ⁺². Further, we obtained some basic properties of surfaces in Eⁿ⁺² and some results related with their total shear curvatu...
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| Format: | Article |
| Language: | English |
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Sakarya University
2018-12-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/486206 |
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| _version_ | 1846111541415378944 |
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| author | Kadri Arslan Betül Bulca |
| author_facet | Kadri Arslan Betül Bulca |
| author_sort | Kadri Arslan |
| collection | DOAJ |
| description | In the present study we consider surfaces in Euclidean (n+2)-space Eⁿ⁺². Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in Eⁿ⁺². Further, we obtained some basic properties of surfaces in Eⁿ⁺² and some results related with their total shear curvatures. Finally, we give an example of generalized spherical surfaces in Euclidean 4-space E⁴ with vanishing shear curvature. |
| format | Article |
| id | doaj-art-5958eebb4549495c91fd10e8fed66d6d |
| institution | Kabale University |
| issn | 2147-835X |
| language | English |
| publishDate | 2018-12-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-5958eebb4549495c91fd10e8fed66d6d2024-12-23T07:59:09ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2018-12-012261765176910.16984/saufenbilder.41004428On Total Shear Curvature of Surfaces in E^{n+2}Kadri Arslan0Betül Bulca1Uludag UniversityUludag universityIn the present study we consider surfaces in Euclidean (n+2)-space Eⁿ⁺². Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in Eⁿ⁺². Further, we obtained some basic properties of surfaces in Eⁿ⁺² and some results related with their total shear curvatures. Finally, we give an example of generalized spherical surfaces in Euclidean 4-space E⁴ with vanishing shear curvature.https://dergipark.org.tr/tr/download/article-file/486206shear tensorgaussian curvaturemean curvature |
| spellingShingle | Kadri Arslan Betül Bulca On Total Shear Curvature of Surfaces in E^{n+2} Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi shear tensor gaussian curvature mean curvature |
| title | On Total Shear Curvature of Surfaces in E^{n+2} |
| title_full | On Total Shear Curvature of Surfaces in E^{n+2} |
| title_fullStr | On Total Shear Curvature of Surfaces in E^{n+2} |
| title_full_unstemmed | On Total Shear Curvature of Surfaces in E^{n+2} |
| title_short | On Total Shear Curvature of Surfaces in E^{n+2} |
| title_sort | on total shear curvature of surfaces in e n 2 |
| topic | shear tensor gaussian curvature mean curvature |
| url | https://dergipark.org.tr/tr/download/article-file/486206 |
| work_keys_str_mv | AT kadriarslan ontotalshearcurvatureofsurfacesinen2 AT betulbulca ontotalshearcurvatureofsurfacesinen2 |