f-pluriharmonic maps on manifolds with f-structures

Abstract

We introduce and study here the notion of $f$-pluriharmonicity, as the extension of pluriharmonicity from the context of the almost Hermitian manifolds, to the manifolds endowed with $f$-structures, which are defined by K. Yano in [12]. Then we relate $f$-pluriharmonicity with $\pm f$-holomorphicity and $f-(1,1)$–geodesicity. We generalize a result obtained by S. Udagawa in [11], we give some applications by using the complex sectional curvature defined by T. Siu in [9] and we construct some examples.