We characterize the natural diagonal almost product (locally product) structures on the tangent bundle of a Riemannian manifold. We obtain the conditions under which the tangent bundle endowed with the determined structure and with a metric of natural diagonal lift type is a Riemannian almost product (locally product) manifold, or an (almost) para-Hermitian manifold. We find the natural diagonal (almost) para-K"ahlerian structures on the tangent bundle, and we study the conditions under which they have constant para-holomorphic sectional curvature.
Druta-Romaniuc, S. (2012). Para-Kahler tangent bundles of constant para-holomorphic sectional curvature. Bulletin of the Iranian Mathematical Society, 38(4), 955-972.
MLA
Simona-Luiza Druta-Romaniuc. "Para-Kahler tangent bundles of constant para-holomorphic sectional curvature". Bulletin of the Iranian Mathematical Society, 38, 4, 2012, 955-972.
HARVARD
Druta-Romaniuc, S. (2012). 'Para-Kahler tangent bundles of constant para-holomorphic sectional curvature', Bulletin of the Iranian Mathematical Society, 38(4), pp. 955-972.
VANCOUVER
Druta-Romaniuc, S. Para-Kahler tangent bundles of constant para-holomorphic sectional curvature. Bulletin of the Iranian Mathematical Society, 2012; 38(4): 955-972.
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