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http://dx.doi.org/10.4134/CKMS.c200114

A NEW CLASS OF RIEMANNIAN METRICS ON TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD  

Baghban, Amir (Facultu of Mathematics Azarbaijan Shahid Madani University)
Sababe, Saeed Hashemi (Young Researchers and Elite Club Malard Branch, Islamic Azad University)
Publication Information
Communications of the Korean Mathematical Society / v.35, no.4, 2020 , pp. 1255-1267 More about this Journal
Abstract
The class of isotropic almost complex structures, J𝛿,𝜎, define a class of Riemannian metrics, g𝛿,𝜎, on the tangent bundle of a Riemannian manifold which are a generalization of the Sasaki metric. This paper characterizes the metrics g𝛿,0 using the geometry of tangent bundle. As a by-product, some integrability results will be reported for J𝛿,𝜎.
Keywords
Einstein manifold; isotropic almost complex structure; integrability; space form; tangent bundle;
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