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Mathematics 2016, 4(1), 15; doi:10.3390/math4010015

Conformal Maps, Biharmonic Maps, and the Warped Product

Laboratory of Geometry, Analysis, Control and Applications, University de Saida, BP138, En-Nasr, 20000 Saida, Algeria
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Academic Editor: Sadayoshi Kojima
Received: 19 December 2015 / Revised: 12 February 2016 / Accepted: 23 February 2016 / Published: 8 March 2016
View Full-Text   |   Download PDF [391 KB, uploaded 8 March 2016]

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. View Full-Text
Keywords: biharmonic map; conformal map; warped product biharmonic map; conformal map; warped product
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Ouakkas, S.; Djebbouri, D. Conformal Maps, Biharmonic Maps, and the Warped Product. Mathematics 2016, 4, 15.

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