Golden Riemannian structures on the tangent bundle with g-natural metrics
Starting from the g-natural Riemannian metric G on the tangent bundle TM of a Riemannian manifold (M,g), we construct a family of the Golden Riemannian structures ? on the tangent bundle (TM,G). Then we investigate the integrability of such Golden Riemannian structures on the tangent bundle TM and show that there is a direct correlation between the locally decomposable property of (TM,?,G) and the locally flatness of manifold (M,g).
1971 ◽
Vol 1971
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pp. 124-129
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2011 ◽
Vol 08
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pp. 1593-1610
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2020 ◽
Vol 17
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pp. 2050122
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2021 ◽
Vol 62
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pp. 53-66
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2003 ◽
Vol 133
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pp. 1209-1229
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