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Almost symplectic structures and harmonic morphisms

Jean-Marie Burel — 2004

Bollettino dell'Unione Matematica Italiana

In this paper, we introduce the notion of symplectic harmonic maps between tamed manifolds and establish some properties. In the case where the manifolds are almost Hermitian manifolds, we obtain a new method to contruct harmonic maps with minimal fibres. We finally present examples of such applications between projectives spaces.

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