Complex points of minimal surfaces in almost Kähler manifolds (Q1386150)

The author extends a result by \textit{S.-S. Chern} and \textit{J. G. Wolfson} [Am. J. Math. 105, 59-83 (1983; Zbl 0521.53050)] and \textit{S. M. Webster} [J. Differ. Geom. 20, 463-470 (1984; Zbl 0561.53054)] from the Kähler case to almost Kähler manifolds. More precisely, he proves that if \((N,\omega , J, g)\) is an almost Kähler surface and \(M\) is a branched minimal immersion which is not a \(J\)-holomorphic curve, then the complex tangents are isolated and each has a negative index. The author also gets lower estimates for the genus of embedded minimal surfaces in almost Kähler manifolds.