Results 1 to 10 of about 236 (127)
Characterizations of Trivial Ricci Solitons
Advances in Mathematical Physics, 2020 Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton.
Sharief Deshmukh +2 more
doaj +3 more sources
Frontiers in Physics, 2022 The goal of the present study is to study the ∗-η-Ricci soliton and gradient almost ∗-η-Ricci soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein metrics.
Santu Dey, Nasser Bin Turki
doaj +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2023 The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
doaj +1 more source
Generalized Ricci Solitons [PDF]
The Journal of Geometric Analysis, 2015 56 ...
Nurowski, Paweł~, Randall, Matthew
openaire +3 more sources
Almost Ricci–Bourguignon Solitons on Doubly Warped Product Manifolds
Universe, 2023 This study aims at examining the effects of an almost Ricci–Bourguignon soliton structure on the base and fiber factor manifolds of a doubly warped product manifold.
Sameh Shenawy +3 more
doaj +1 more source
Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Open Mathematics, 2022 We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin +3 more
doaj +1 more source
RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON NEARLY KENMOTSU MANIFOLDS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2019 In this paper, we study nearly Kenmotsu manifolds with Ricci soliton and we obtain certain conditions about curvature tensors.
Ayar, Gülhan, Yıldırım, Mustafa
openaire +3 more sources
Gulf Journal of Mathematics, 2022 Abstract. In the present paper, we prove three fundamental results concerning almost ∗-Ricci soliton in the framework of para-Sasakian manifold. The paper is organised as follows:• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential vector field V is Jacobi along Reeb vector field ξ, then g becomes a ∗-Ricci soliton.• If a ...
Kundu, Satyabrota, Halder, S., De, K.
openaire +1 more source
∗-Ricci Tensor on α-Cosymplectic Manifolds
Advances in Mathematical Physics, 2022 In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
M. R. Amruthalakshmi +3 more
doaj +1 more source
ON HOMOGENEOUS RICCI SOLITONS [PDF]
The Quarterly Journal of Mathematics, 2013 We study the evolution of homogeneous Ricci solitons under the bracket flow, a dynamical system on the space of all homogeneous spaces of dimension n with a q-dimensional isotropy, which is equivalent to the Ricci flow for homogeneous manifolds. We prove that algebraic solitons (i.e.
Lafuente, R., Lauret, J.
openaire +5 more sources