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Biharmonic submanifolds in spheres

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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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Author information

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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  • Riemannian Manifold
  • Sectional Curvature
  • Isometric Immersion
  • Geodesic Curvature
  • Biharmonic Equation