On the bi-harmonic maps with potential
In this note we characterize the harmonic maps and biharmonic maps with potential, and we prove that every biharmonic map with potential on a complete manifold satisfying some conditions is a harmonic map with potential.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Emerald Publishing
2018-01-01
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| Series: | Arab Journal of Mathematical Sciences |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1319516617301354 |
| _version_ | 1819136598923542528 |
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| author | Ahmed Mohammed Cherif Mustapha Djaa |
| author_facet | Ahmed Mohammed Cherif Mustapha Djaa |
| author_sort | Ahmed Mohammed Cherif |
| collection | DOAJ |
| description | In this note we characterize the harmonic maps and biharmonic maps with potential, and we prove that every biharmonic map with potential on a complete manifold satisfying some conditions is a harmonic map with potential. |
| first_indexed | 2024-12-22T10:37:32Z |
| format | Article |
| id | doaj.art-f016c3cae1a84813ad98a26f66356d97 |
| institution | Directory Open Access Journal |
| issn | 1319-5166 |
| language | English |
| last_indexed | 2024-12-22T10:37:32Z |
| publishDate | 2018-01-01 |
| publisher | Emerald Publishing |
| record_format | Article |
| series | Arab Journal of Mathematical Sciences |
| spelling | doaj.art-f016c3cae1a84813ad98a26f66356d972022-12-21T18:29:09ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662018-01-012411810.1016/j.ajmsc.2017.06.001On the bi-harmonic maps with potentialAhmed Mohammed Cherif0Mustapha Djaa1Department of Mathematics, Mascara University, AlgeriaDepartment of Mathematics, Relizane University, AlgeriaIn this note we characterize the harmonic maps and biharmonic maps with potential, and we prove that every biharmonic map with potential on a complete manifold satisfying some conditions is a harmonic map with potential.http://www.sciencedirect.com/science/article/pii/S1319516617301354Harmonic maps with potentialBiharmonic maps with potentialComplete manifoldH-energy |
| spellingShingle | Ahmed Mohammed Cherif Mustapha Djaa On the bi-harmonic maps with potential Arab Journal of Mathematical Sciences Harmonic maps with potential Biharmonic maps with potential Complete manifold H-energy |
| title | On the bi-harmonic maps with potential |
| title_full | On the bi-harmonic maps with potential |
| title_fullStr | On the bi-harmonic maps with potential |
| title_full_unstemmed | On the bi-harmonic maps with potential |
| title_short | On the bi-harmonic maps with potential |
| title_sort | on the bi harmonic maps with potential |
| topic | Harmonic maps with potential Biharmonic maps with potential Complete manifold H-energy |
| url | http://www.sciencedirect.com/science/article/pii/S1319516617301354 |
| work_keys_str_mv | AT ahmedmohammedcherif onthebiharmonicmapswithpotential AT mustaphadjaa onthebiharmonicmapswithpotential |