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Horizontal and complete lift of Fa(K,1)-structure in the tangent bundle

Prasad C., Chauhan P.

Demonstratio Mathematica

2007

Vol. 40, nr 2

441-448

Prasad and Gupta [2] have obtained the integrability conditions of a structure satisfying FK -a2F = 0. The complete lift of Flambda-structure in tangent bundle was studied by Awasthi and Gupta [1]. In the present paper, we have studied the horizontal & complete lifts of Fa(K, 1)-structure in the tangent bundle.

Another Kaehler structure on the tangent bundle of a space form

Papaghiuc N.

Demonstratio Mathematica

1998

Vol. 31, nr 4

855-866

It is obtained a Kaehler structure on the tangent bundle of an n-dimensional Riemannian manifold of constant positive sectional curvature. It is skown that this Kaehler structure is Ricci flat if n=2 but, generally, it is not a Kaehler Einstein structure.