Remarks on some almost Hermitian structure on the tangent bundle
Koike, Takuya ; Oguro, Takashi ; Watanabe, Norio
Nihonkai Math. J., Tome 20 (2009) no. 1, p. 25-32 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  Almost Hermitian manifold,  Tangent bundle,  53C15 
@article{1268251394,
     author = {Koike, Takuya and Oguro, Takashi and Watanabe, Norio},
     title = {Remarks on some almost Hermitian structure on the tangent bundle},
     journal = {Nihonkai Math. J.},
     volume = {20},
     number = {1},
     year = {2009},
     pages = { 25-32},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1268251394}
}

Koike, Takuya; Oguro, Takashi; Watanabe, Norio. Remarks on some almost Hermitian structure on the tangent bundle. Nihonkai Math. J., Tome 20 (2009) no. 1, pp.  25-32. http://gdmltest.u-ga.fr/item/1268251394/