Abstract
We find the almost product (locally product) structures of general natural lift type on the tangent bundle of a Riemannian manifold. We get the conditions under which the tangent bundle endowed with such a structure and with a general natural lifted metric is a Riemannian almost product (locally product) or an (almost) para-Hermitian manifold. We give a characterization of the general natural (almost) para-Hermitian structures, which are (almost) para-Kählerian on the tangent bundle.
Citation
Simona-Luiza Druţă-Romaniuc. "GENERAL NATURAL RIEMANNIAN ALMOST PRODUCT AND PARA-HERMITIAN STRUCTURES ON TANGENT BUNDLES." Taiwanese J. Math. 16 (2) 497 - 510, 2012. https://doi.org/10.11650/twjm/1500406597
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