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η-Ricci solitons and almost η-Ricci solitons on para-Sasakian manifolds
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In this paper, the authors studied a para-Sakian manifold whose metric g is an η-Ricci soliton (g,V ) and almost η Ricci solitons.Abstract:
In this paper, we study para-Sasakian manifold (M,g) whose metric g is an η-Ricci soliton (g,V ) and almost η-Ricci soliton. We prove that, if g is an η-Ricci soliton, then either M is Einstein and...read more
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Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Yanlin Li,Santu Dey,Sampa Pahan +2 more
TL;DR: In this paper , it was shown that if an η \eta -Einstein para-Kenmotsu manifold admits a conformal Ricci almost soliton and the Reeb vector field leaves the scalar curvature invariant then it is Einstein.
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Almost $$*$$∗ -Ricci soliton on paraKenmotsu manifolds
TL;DR: In this article, the authors considered the problem of paracontact geometry on a para-Kenmotsu manifold and showed that if the metric g of g of G of σ, σ is a Gaussian, then G is either the potential vector field collinear with Reeb vector field or Ricci soliton.
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Riemann solitons and almost Riemann solitons on almost Kenmotsu manifolds
TL;DR: In this paper, the authors studied the Riemann soliton and gradient almost-Riemann-soliton on a certain class of almost Kenmotsu manifolds.
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Almost $$\eta $$ η -Ricci solitons on Kenmotsu manifolds
TL;DR: In this paper, the authors characterized the Einstein metrics in such broad classes of metrics as almost $$\eta $$¯¯ -Ricci solitons and almost $€  ¯¯¯¯ -RICci soliton on Kenmotsu manifolds, and generalized some known results.
References
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Journal ArticleDOI
Almost $\eta$-Ricci solitons in $(LCS)_n$-manifolds
TL;DR: In this paper, a Bochner-type formula for the Ricci curvature of an almost ε-Ricci soliton was derived for the gradient case, and a lower and an upper bound for the norm of the curvature was derived.
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Some Results on Almost Paracontact Metric Manifolds
TL;DR: In this paper, the tensor tensor is used to investigate the geometry of an almost paracontact metric manifold, also in terms of almost para-CR geometry, emphasizing analogies and differences with respect to the contact metric case.
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Certain results on K-paracontact and paraSasakian manifolds
TL;DR: In this paper, a 3-dimensional paraSasakian manifold and a conformally flat K-paracontact manifold were studied and it was shown that the conditions Einstein, conformal flat, semi-symmetric, and Ricci semi symmetric are all equivalent.
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Local classification and examples of an important class of paracontact metric manifolds
TL;DR: Theorem 3.2 of [Martin-Molina 2014] and as discussed by the authors showed that a paracontact metric with constant rank is equivalent to a tensor of constant rank.
Posted Content
Almost $\eta$-Ricci solitons in $(LCS)_n$-manifolds
TL;DR: In this article, a Bochner-type formula for the Ricci curvature of an almost ε-Ricci soliton was derived for the gradient case, and a lower and an upper bound for the norm of the curvature was derived.