Abstract
Pour g≥1 et n≥3, il existe une constante δ(g,n) (resp. δ'(g,n))>1/4 telle que si M n est une variete de Riemann δ-pincee simplement connexe compacte a n dimension avec δ>δ(g,n) (resp. δ'(g,n)), alors une immersion minimale ∑ g →M d'une surface de Riemann fermee orientable (resp. non-orientable) ∑ g de genre g est instable
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