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math.DG2009
A generalisation of the Hopf Construction and harmonic morphisms into $\s^2$
S. Montaldo, A. Ratto
In this paper we construct a new family of harmonic morphisms $φ:V^5\to\s^2$, where is a 5-dimensional open manifold contained in an ellipsoidal hypersurface of $\c^4=\r^8$.…
math.DG2009
Biharmonic submanifolds of
D. Fetcu, E. Loubeau, S. Montaldo +1
We give some general results on proper-biharmonic submanifolds of a complex space form and, in particular, of the complex projective space. These results are mainly concerned with…