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VOL. 8 | 2007 Old and New Structures on the Tangent Bundle
Marian Ioan Munteanu

Editor(s) Ivaïlo M. Mladenov, Manuel de León


In this paper we study a Riemanian metric on the tangent bundle $T(M)$ of a Riemannian manifold $M$ which generalizes Sasakian metric and Cheeger–Gromoll metric along a compatible almost complex structure which together with the metric confers to $T(M)$ a structure of locally conformal almost Kählerian manifold. This is the natural generalization of the well known almost Kählerian structure on $T(M)$. We found conditions under which $T(M)$ is almost Kählerian, locally conformal Kählerian or Kählerian or when $T(M)$ has constant sectional curvature or constant scalar curvature.


Published: 1 January 2007
First available in Project Euclid: 13 July 2015

zbMATH: 1126.53020
MathSciNet: MR2341208

Digital Object Identifier: 10.7546/giq-8-2007-264-278

Rights: Copyright © 2007 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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