COMPLEX SUBMANIFOLDS OF ALMOST COMPLEX EUCLIDEAN SPACES
COMPLEX SUBMANIFOLDS OF ALMOST COMPLEX EUCLIDEAN SPACES
We prove that a compact Riemann surface can be realized as a pseudo-holomorphic curve of (ℝ4, J), for some almost complex structure J if and only if it is an elliptic curve. Furthermore, we show that any (almost) complex 2n-torus can be holomorphically embedded in (ℝ4n, J) for a suitable …