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Volume :16 Issue : 1 1989      Add To Cart                                                                    Download

Almost quaternion structure on cross-section in the cotangent bundle

Auther : J. P. SRIVASTAVA

Department of Mathematics, University of Jammu, New Campus, Jammu 180001, India

 

ABSTRACT

 

Yano & Ako (1973) obtained certain conditions under which the complete lift of tensor fields in M admits an almost quaternion structure of first and second kind in tangent bundle. Yano (1967) defined tensor fields and a connection on cross-section in the cotangent bundle. Here we obtain conditions under which the complete lift of tensor fields in M admitting almost quaternion structure defines a similar structure on cross-section in the cotangent bundle. Further, by introducing a symmetric affine connection in M we obtain equivalent conditions for the set {FC GC, HC) to be almost quaternion.

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