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(1,1)-Tensor sphere bundle of Cheeger–Gromoll type (2017)

SpringerOpen

In: Arabian Journal of Mathematics

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Publication Date: 2017-05-17

Description: We construct a metrical framed \(f(3,-1)\) -structure on the (1, 1)-tensor bundle of a Riemannian manifold equipped with a Cheeger–Gromoll type metric and by restricting this structure to the (1, 1)-tensor sphere bundle, we obtain an almost metrical paracontact structure on the (1, 1)-tensor sphere bundle. Moreover, we show that the (1, 1)-tensor sphere bundles endowed with the induced metric are never space forms.

Print ISSN: 2193-5343

Electronic ISSN: 2193-5351

Topics: Mathematics

Published by SpringerOpen

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