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Conformal Maps, Biharmonic Maps, and the Warped Product

Seddik Ouakkas and Djelloul Djebbouri
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Seddik Ouakkas: Laboratory of Geometry, Analysis, Control and Applications, University de Saida, BP138, En-Nasr, 20000 Saida, Algeria
Djelloul Djebbouri: Laboratory of Geometry, Analysis, Control and Applications, University de Saida, BP138, En-Nasr, 20000 Saida, Algeria

Mathematics, 2016, vol. 4, issue 1, 1-17

Abstract: In this paper we study some properties of conformal maps between equidimensional manifolds, we construct new example of non-harmonic biharmonic maps and we characterize the biharmonicity of some maps on the warped product manifolds.

Keywords: biharmonic map; conformal map; warped product (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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