Abstract
In [5], M. Tahara and Y. Watanabe constructed a family of almost Hermitian structures (J,G) on the tangent bundle TM of a Riemannian manifold and constructed a family of Hermitian and Kähler structure on the tangent bundle on a space form. It is well-known that there are sixteen classes of almost Hermitian manifolds ([3]). In this paper, we give the conditions for (J,G) such that TM belongs to each of these sixteen classes.
Citation
Takuya Koike. Takashi Oguro. Norio Watanabe. "Remarks on some almost Hermitian structure on the tangent bundle." Nihonkai Math. J. 20 (1) 25 - 32, 2009.
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