Surfaces as Graphs of Finite Type in H2 × R
In this paper, we prove that ∆X = 2H where ∆ is the Laplacian operator, r = (x, y, z) the position vector field and H is the mean curvature vector field of a surface S in H2 × R and we study surfaces as graphs in H2 × R which has finite type immersion.
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| Format: | Article |
| Language: | English |
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Etamaths Publishing
2020-06-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2194 |
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doaj-26e746f6865b4a0dac2cad62bcc4d9c52021-08-26T13:44:40ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392020-06-01185838848482Surfaces as Graphs of Finite Type in H2 × RAhmed Azzi0Zoubir HanifiMohammed BekkarDepartment of Mathematics, Faculty of Sciences, University of Oran 1, Ahmed Benbella AlgeriaIn this paper, we prove that ∆X = 2H where ∆ is the Laplacian operator, r = (x, y, z) the position vector field and H is the mean curvature vector field of a surface S in H2 × R and we study surfaces as graphs in H2 × R which has finite type immersion.http://etamaths.com/index.php/ijaa/article/view/2194 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ahmed Azzi Zoubir Hanifi Mohammed Bekkar |
| spellingShingle |
Ahmed Azzi Zoubir Hanifi Mohammed Bekkar Surfaces as Graphs of Finite Type in H2 × R International Journal of Analysis and Applications |
| author_facet |
Ahmed Azzi Zoubir Hanifi Mohammed Bekkar |
| author_sort |
Ahmed Azzi |
| title |
Surfaces as Graphs of Finite Type in H2 × R |
| title_short |
Surfaces as Graphs of Finite Type in H2 × R |
| title_full |
Surfaces as Graphs of Finite Type in H2 × R |
| title_fullStr |
Surfaces as Graphs of Finite Type in H2 × R |
| title_full_unstemmed |
Surfaces as Graphs of Finite Type in H2 × R |
| title_sort |
surfaces as graphs of finite type in h2 × r |
| publisher |
Etamaths Publishing |
| series |
International Journal of Analysis and Applications |
| issn |
2291-8639 |
| publishDate |
2020-06-01 |
| description |
In this paper, we prove that ∆X = 2H where ∆ is the Laplacian operator, r = (x, y, z) the position vector field and H is the mean curvature vector field of a surface S in H2 × R and we study surfaces as graphs in H2 × R which has finite type immersion. |
| url |
http://etamaths.com/index.php/ijaa/article/view/2194 |
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AT ahmedazzi surfacesasgraphsoffinitetypeinh2r AT zoubirhanifi surfacesasgraphsoffinitetypeinh2r AT mohammedbekkar surfacesasgraphsoffinitetypeinh2r |
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