The existence of <italic>J</italic>-holomorphic curves in almost Hermitian manifolds.

In this paper, we investigate the existence of <italic>J</italic>-holomorphic curves on almost Hermitian manifolds. Let (<italic>M</italic>, <italic>g</italic>, <italic>J</italic>, <italic>F</italic>) be an almost Hermitian manifold and f:Σ→M<inline-graphic></inline-graphic> be an injective immersion. We prove that if the Lp<inline-graphic></inline-graphic> functional has a critical point or a stable point in the same almost Hermitian class, then the immersion is <italic>J</italic>-holomorphic. [ABSTRACT FROM AUTHOR]