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ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2010 We introduce a natural extension of the concept of gradient Ricci soliton: the Ricci almost soliton. We provide existence and rigidity results, we deduce a-priori curvature estimates and isolation phenomena, and we investigate some topological properties.
Alberto +4 more
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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.
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Half conformally flat gradient Ricci almost solitons. [PDF]
Proc Math Phys Eng Sci, 2016 The local structure of half conformally flat gradient Ricci almost solitons is investigated, showing that they are locally conformally flat in a neighbourhood of any point where the gradient of the potential function is non-null. In opposition, if the gradient of the potential function is null, then the soliton is a steady traceless
Brozos-Vázquez M +2 more
europepmc +5 more sources
Some Results on Ricci Almost Solitons [PDF]
Symmetry, 2021 We find three necessary and sufficient conditions for an n-dimensional compact Ricci almost soliton (M,g,w,σ) to be a trivial Ricci soliton under the assumption that the soliton vector field w is a geodesic vector field (a vector field with integral curves geodesics).
Sharief Deshmukh +2 more
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Gradient Ricci almost soliton warped product [PDF]
Journal of Geometry and Physics, 2019 Final version which has been accepted for publication in Journal of Geometry and ...
Feitosa, F. E. S. +3 more
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Ricci almost solitons on semi‐Riemannian warped products [PDF]
Mathematische Nachrichten, 2022 AbstractIt is shown that a gradient Ricci almost soliton on a warped product, whose potential function f depends on the fiber, is either a Ricci soliton or λ is not constant and the warped product, the base and the fiber are Einstein manifolds, which admit conformal vector fields.
Valter Borges, Keti Tenenblat
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ALMOST YAMABE SOLITON AND ALMOST RICCI-BOURGUIGNON SOLITON WITH GEODESIC VECTOR FIELDS
Matematički VesnikSummary: The aim of this paper is to prove some results about almost Yamabe soliton and almost Ricci-Bourguignon soliton with special soliton vector field. In fact, we prove that every compact non-trivial almost Ricci-Bourguignon soliton with constant scalar curvature is isometric to a Euclidean sphere.
Matematiqki Vesnik, S. Azami
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Almost Ricci–Yamabe solitons on almost Kenmotsu manifolds
Asian-European Journal of Mathematics, 2023 This paper examines almost Kenmotsu manifolds (briefly, AKMs) endowed with the almost Ricci–Yamabe solitons (ARYSs) and gradient ARYSs. The condition for an AKM with ARYS to be [Formula: see text]-Einstein is established. We also show that an ARYS on Kenmotsu manifold becomes a Ricci–Yamabe soliton under certain restrictions.
Mohan Khatri, Jay Prakash Singh
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Almost $$\eta $$-Ricci solitons on Kenmotsu manifolds [PDF]
European Journal of Mathematics, 2021 Comment: 10 ...
Dhriti Sundar Patra, Vladimir Rovenski
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Characterization of Ricci Almost Soliton on Lorentzian Manifolds
Symmetry, 2023 Ricci solitons (RS) have an extensive background in modern physics and are extensively used in cosmology and general relativity. The focus of this work is to investigate Ricci almost solitons (RAS) on Lorentzian manifolds with a special metric connection
Yanlin Li +3 more
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