NOTES ON CRITICAL ALMOST HERMITIAN STRUCTURES
NOTES ON CRITICAL ALMOST HERMITIAN STRUCTURES
We discuss the critical points of the functional <TEX>$F_{\lambda,\mu}(J,g)=\int_M(\lambda\tau+\mu\tau^*)d\upsilon_g$</TEX> on the spaces of all almost Hermitian structures AH(M) with <TEX>$(\lambda,\mu){\in}R^2-(0,0)$</TEX>, where <TEX>$\tau$</TEX> and <TEX>$\tau^*$</TEX> being the scalar curvature and the *-scalar curvature of (J, g), respectively. We shall give several characterizations of Kahler structure for some special classes of almost …