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
Druta-Romaniuc, S. "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.
CHICAGO
S. Druta-Romaniuc, "Para-Kahler tangent bundles of constant para-holomorphic sectional curvature," Bulletin of the Iranian Mathematical Society, 38 4 (2012): 955-972,
VANCOUVER
Druta-Romaniuc S. Para-Kahler tangent bundles of constant para-holomorphic sectional curvature. BIMS. 2012;38(4):955-972.
