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Conformal Maps, Biharmonic Maps, and the Warped Product

Author

Listed:
  • 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)

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.

Suggested Citation

  • Seddik Ouakkas & Djelloul Djebbouri, 2016. "Conformal Maps, Biharmonic Maps, and the Warped Product," Mathematics, MDPI, vol. 4(1), pages 1-17, March.
  • Handle: RePEc:gam:jmathe:v:4:y:2016:i:1:p:15-:d:65296
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