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η-∗-Ricci Solitons and Almost co-Kähler Manifolds
Mathematics, 2021 The subject of the present paper is the investigation of a new type of solitons, called η-∗-Ricci solitons in (k,μ)-almost co-Kähler manifold (briefly, ackm), which generalizes the notion of the η-Ricci soliton introduced by Cho and Kimura.
Arpan Sardar +2 more
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Notes on Ricci solitons in $f$-cosymplectic manifolds [PDF]
, 2017 The purpose of this article is to study an $f$-cosymplectic manifold $M$ admitting Ricci solitons. Here we consider mainly two classes of Ricci solitons on $f$-cosymplectic manifolds. One is the class of contact Ricci solitons.
Chen, Xiaomin
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Mathematics, 2021 We introduce and study a new type of soliton with a potential Reeb vector field on Riemannian manifolds with an almost paracontact structure corresponding to an almost paracomplex structure.
Hristo Manev, Mancho Manev
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Ricci solitons in three-dimensional paracontact geometry [PDF]
, 2014 We completely describe paracontact metric three-manifolds whose Reeb vector field satisfies the Ricci soliton equation. While contact Riemannian (or Lorentz\-ian) Ricci solitons are necessarily trivial, that is, $K$-contact and Einstein, the paracontact ...
Calvaruso, Giovanni, Perrone, Antonella
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Steady gradient Ricci soliton with curvature in $L^1$
, 2012 We characterize complete nonnegatively curved steady gradient soliton with curvature in L 1 . We show that there are isometric to a product (( R 2 , g cigar ) × ( R n − 2 , eucl)) / Γ where Γ is a Bieberbach group of rank n − 2.
Alix Deruelle
semanticscholar +1 more source
On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms
Universal Journal of Mathematics and Applications, 2023 In this paper, we consider Lorentz generalized Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of \ Lorentz generalized Sasakian space forms admitting $\eta-$Ricci soliton have ...
Mehmet Atçeken, Tuğba Mert
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η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds
Cubo, 2020 In this paper, we study \( \eta \)-Ricci solitons on 3-dimensional trans-Sasakian manifolds. Firstly we give conditions for the existence of these geometric structures and then observe that they provide examples of \( \eta \)-Einstein manifolds.
Sampa Pahan
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On Bochner Flat Kähler B-Manifolds
Axioms, 2023 We obtain on a Kähler B-manifold (i.e., a Kähler manifold with a Norden metric) some corresponding results from the Kählerian and para-Kählerian context concerning the Bochner curvature. We prove that such a manifold is of constant totally real sectional
Cornelia-Livia Bejan +2 more
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A Hamiltonian approach to the cohomogeneity one Ricci soliton equations [PDF]
, 2014 We show how to view the equations for a cohomogeneity one Ricci soliton as a Hamiltonian system with a constraint. We investigate conserved quantities and superpotentials, and use this to find some explicit formulae for Ricci solitons not of K\"ahler ...
Alejandro Betancourt de la Parra +2 more
semanticscholar +1 more source
Certain results for η-Ricci Solitons and Yamabe Solitons on quasi-Sasakian 3-Manifolds
Cubo, 2019 We classify quasi-Sasakian 3-manifold with proper η-Ricci soliton and investigate its geometrical properties. Certain results of Yamabe soliton on such manifold are also presented.
Sunil Kumar Yadav +2 more
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