Abstract
Tahara, Vanhecke and Watanabe constructed a family of almost Her- mitian structure $(J_1;G_1)$ and two almost complex structures $J_2$, $J_3$ on the tangent bundle $TM$ over an almost Hermitian manifold $M$. In this paper, we define Riemannian metrics $G_2$ and $G_3$ on $TM$ which make $TM$ an almost Hermitian manifold and determine the conditions for $(J_i, G_i) (i = 1; 2; 3)$ so that $(TM; J_i, G_i)$ belongs to each of the sixteen classes established by Gray and Hervella.
Citation
Takashi Oguro. Yoshitsugu Takashima. "Remarks on some almost Hermitian structure on the tangent bundle, II." Nihonkai Math. J. 25 (1) 1 - 26, 2014.
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