Locally decomposable golden Riemannian tangent bundles with Cheeger-Gromoll metric

Kazan, Ahmet; Karadağ, H. Bayram

doi:10.18514/mmn.2016.1534

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Golden Riemannian Structures On the Tangent Bundle With -Nat1

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Cited by 7 publications

(1 citation statement)

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“…Remark 3.6. In [10], the authors presented a structurer of the form (9) on the tangent bundle TM with the Cheeger-Gromoll metric G CG and claimed that it introduces a Golden Riemannian structure. It is easy to check that such a structure does not satisfy (3) and hence, it dose not define a Golden Riemannian structure on (TM, G CG ).…”

Section: Golden Riemannian Structures On the Tangent Bundle With -Natmentioning

confidence: 99%

Golden Riemannian structures on the tangent bundle with g-natural metrics

Peyghan

Firuzi

2019

Filomat

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Starting from the-natural Riemannian metric G on the tangent bundle TM of a Riemannian manifold (M,), we construct a family of the Golden Riemannian structures ϕ 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, ϕ, G) and the locally flatness of manifold (M,).

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Section: Golden Riemannian Structures On the Tangent Bundle With -Natmentioning

confidence: 99%

Golden Riemannian structures on the tangent bundle with g-natural metrics

Peyghan

Firuzi

2019

Filomat

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Tangent Bundles Endowed with Quarter-Symmetric Non-metric $$\xi $$-Connection on 3-Dimensional Quasi-Sasakian Manifolds

Khan,

Velimirović

2024

Infosys Science Foundation Series

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Alternative Equations for Horizontal Lifts of the Metallic Structures from Manifold onto Tangent Bundle

Khan

Choudhary

Chaubey³

2022

Journal of Mathematics

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We explore “the horizontal lift” of the structure J satisfying J 2 − α J − β I = 0 and establish that it as a kind of metallic structure. An analysis of Nijenhuis tensor of metallic structure J H is presented, and a new tensor field J ˜ of 1,1 -type is introduced and demonstrated to be metallic structure. Some results on the Nijenhuis tensor and the Lie derivative of J ˜ in TM are proved and explicit examples are given. Moreover, the metallic structure J ˜ endowed with projection operators l ˜ and m ˜ in TM is studied.

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Locally decomposable golden Riemannian tangent bundles with Cheeger-Gromoll metric

Abstract: In this paper we obtain a condition for the tangent bundle .TM; Q J ; Q g/ to be locally decomposable Golden Riemannian tangent bundle, where Q J is the Golden structure on TM and Q g is the Cheeger-Gromoll metric.

Cited by 7 publications

References 14 publications

Golden Riemannian structures on the tangent bundle with g-natural metrics

Golden Riemannian structures on the tangent bundle with g-natural metrics

Tangent Bundles Endowed with Quarter-Symmetric Non-metric $$\xi $$-Connection on 3-Dimensional Quasi-Sasakian Manifolds

Alternative Equations for Horizontal Lifts of the Metallic Structures from Manifold onto Tangent Bundle

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