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On Y. C. Wong's Conjecture

Published online by Cambridge University Press:  20 November 2018

D. K. Datta
D. K. Datta*
Affiliation:
University of Rhode Island, Kingston, Rhode Island
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Let M be an n-dimensional connected C∞ manifold with a linear connection Γ. M is said to be of recurrent curvature with respect to Γ if the corresponding curvature tensor R satisfies [1], [4]

where Δ denotes covariant derivative with respect to Γ and W is a nonzero covector called the recurrence co-vector. Let T be the torsion of Γ.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 13 , Issue 4 , December 1970 , pp. 423 - 424
Copyright
Copyright © Canadian Mathematical Society 1970

References

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