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Biharmonic submanifolds in spheres

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Abstract

We give some methods to construct examples of nonharmonic biharmonic submanifolds of the unitn-dimensional sphereS n. In the case of curves inS n we solve explicitly the biharmonic equation.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Cagliari, Via Ospedale 72, 09124, Cagliari, Italy

    R. Caddeo & S. Montaldo

  2. Faculty of Mathematics, University “AL.I.Cuza” Iasi, Bd. Copou Nr. 11, 6600, Iasi, Romania

    C. Oniciuc

Authors
  1. R. Caddeo
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  2. S. Montaldo
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  3. C. Oniciuc
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Corresponding author

Correspondence to R. Caddeo.

Additional information

The first author was supported by G.N.S.A.G.A., Italy.

The second author was supported by “Contratto giovani ricercatori”, University of Cagliari and by G.N.S.A.G.A., Italy.

The third author was supported by a NATO Guest fellowship grant and the grant 6186/25.X.2000, A.N.S.T.I., România.

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Caddeo, R., Montaldo, S. & Oniciuc, C. Biharmonic submanifolds in spheres. Isr. J. Math. 130, 109–123 (2002). https://doi.org/10.1007/BF02764073

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  • DOI: https://doi.org/10.1007/BF02764073

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