A new characterization of Kenmotsu manifolds with respect to Q tensor

Yıldırım, Mustafa

doi:10.1016/j.geomphys.2022.104498

Cited by 3 publications

(2 citation statements)

References 11 publications

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“…If Ψ= ˘ κ n , where ˘ κ is the scalar curvature, then Q-curvature tensor reduces to concircular curvature tensor C [41]. For more details about Q-curvature tensor, see [42,43]).…”

Section: Introductionmentioning

confidence: 99%

$\mathcal{Z^\ast}$-Tensor on $N(k)$-Contact Metric Manifolds Admitting Ricci Soliton Type Structure

Singh,

Chaubey,

Yadav

et al. 2024

Universal Journal of Mathematics and Applications

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The present study is based on $N(k)$-contact metric manifold bearing $\mathcal{Z}$-tensor. Certian curvature conditions $\mathcal{\overset{\star}Q}(\hat{\zeta},\mathcal{G}_{1}).\mathcal{Z^\ast}$=$0$, $\mathcal{\overset{\star}Q}(\hat{\zeta},\mathcal{G}_{1}).\mathcal{\overset{\star}Q}$=$0$, $((\hat{\zeta}\wedge_{\mathcal{Z^\ast}}\mathcal{G}_{1}).\mathcal{\overset{\star}Q})$=$0$, $\mathcal{\overset{\star}Q}.h$=$0$, $h.\mathcal{\overset{\star}Q}$=$0$ and $\mathcal{Z^\ast}(\mathcal{G}_{1},\hat{\zeta}).\mathcal{\overset{\star}R}$=$0$ on $N(k)$-contact metric manifold are also investigated. $\mathcal{Z}^\star$-recurrent and Ricci soliton on such manifold are also discussed. Finally, we provide an example of $3$-dimensional $N(k)$-contact metric manifold.

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“…If Ψ= ˘ κ n , where ˘ κ is the scalar curvature, then Q-curvature tensor reduces to concircular curvature tensor C [41]. For more details about Q-curvature tensor, see [42,43]).…”

Section: Introductionmentioning

confidence: 99%

$\mathcal{Z^\ast}$-Tensor on $N(k)$-Contact Metric Manifolds Admitting Ricci Soliton Type Structure

Singh,

Chaubey,

Yadav

et al. 2024

Universal Journal of Mathematics and Applications

View full text Add to dashboard Cite

show abstract

“…They studied various properties such manifolds and obtained important results [1]. Recently, Yılmaz and Yıldırım investigated some curvature condition Sasakian manifolds and Kenmotsu manifolds with Q tensor, respectively [3,4] .…”

Section: Introductionmentioning

confidence: 99%