On the biharmonicity of product maps
We introduce the warped product of maps defined between Riemannian warped product spaces and we give necessary and sufficient conditions for warped product maps to be (bi)harmonic. We obtain then some characterizations of nontrivial harmonic metrics and nonharmonic biharmonic metrics on warped produ...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/73094 |
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| _version_ | 1849414428487843840 |
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| author | Leonard Todjihounde |
| author_facet | Leonard Todjihounde |
| author_sort | Leonard Todjihounde |
| collection | DOAJ |
| description | We introduce the warped product of maps defined between Riemannian
warped product spaces and we give necessary and sufficient
conditions for warped product maps to be (bi)harmonic. We obtain
then some characterizations of nontrivial harmonic metrics and
nonharmonic biharmonic metrics on warped product spaces. |
| format | Article |
| id | doaj-art-73a5e8ffd5914e6eb25caebc3ae67647 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-73a5e8ffd5914e6eb25caebc3ae676472025-08-20T03:33:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/7309473094On the biharmonicity of product mapsLeonard Todjihounde0Institut de Mathematiques et de Sciences Physiques, Université Nationale du Benin, BP 613, Porto Novo EP 2628, BeninWe introduce the warped product of maps defined between Riemannian warped product spaces and we give necessary and sufficient conditions for warped product maps to be (bi)harmonic. We obtain then some characterizations of nontrivial harmonic metrics and nonharmonic biharmonic metrics on warped product spaces.http://dx.doi.org/10.1155/IJMMS/2006/73094 |
| spellingShingle | Leonard Todjihounde On the biharmonicity of product maps International Journal of Mathematics and Mathematical Sciences |
| title | On the biharmonicity of product maps |
| title_full | On the biharmonicity of product maps |
| title_fullStr | On the biharmonicity of product maps |
| title_full_unstemmed | On the biharmonicity of product maps |
| title_short | On the biharmonicity of product maps |
| title_sort | on the biharmonicity of product maps |
| url | http://dx.doi.org/10.1155/IJMMS/2006/73094 |
| work_keys_str_mv | AT leonardtodjihounde onthebiharmonicityofproductmaps |