Differential Geometry, Valencia 2001: Proceedings of the ...
Olga Gil-Medrano
integrable and the almost Hermitian structure (Ji,h) Kahler if and only if t — 4n(n + 2). The almost complex structure J2 is never integrable but (J2, h) is almost Kahler if and only if r - -4n(n + 2) and nearly Kahler if and only if r = 2n(n + 2).