Results 61 to 70 of about 548,040 (122)

All two‐dimensional expanding Ricci solitons

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract The second author and H. Yin [Ars Inveniendi Analytica. DOI 10.15781/4x5c-9q97] have developed a Ricci flow existence theory that gives a complete Ricci flow starting with a surface equipped with a conformal structure and a non‐atomic Radon measure as a volume measure. This led to the discovery of a large array of new expanding Ricci solitons.
Luke T. Peachey, Peter M. Topping
wiley   +1 more source

Almost Pure Metric Plastic Structures and Ricci Solitons on Four‐Dimensional Pseudo‐Riemannian Manifolds

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper investigates four‐dimensional almost pure metric plastic manifolds equipped with a specific class of tensor fields known as almost plastic structures. We begin by defining these structures through characteristic algebraic identities and present explicit matrix realizations that capture their essential geometric features.
Aydin Gezer, Sedanur Ucan, Cagri Karaman, Abdul Rauf Khan   +3 more
wiley   +1 more source

Conformal Ricci Soliton in Lorentzian $\alpha $-Sasakian Manifolds

, 2016
summary:In this paper we have studied conformal curvature tensor, conharmonic curvature tensor, projective curvature tensor in Lorentzian $\alpha $-Sasakian manifolds admitting conformal Ricci soliton. We have found that a Weyl conformally semi symmetric
BHATTACHARYYA, Arindam, Dutta, Tamalika, Basu, Nirabhra   +2 more
core   +1 more source

η-RICCI SOLITONS IN (ϵ,δ)-TRANS SASAKIAN MANIFOLDS [PDF]

, 2019
The object of the present research is to study the (ϵ,δ)-TransSasakian manifolds addmitting the η-Ricci Solitons. It is shown that a sym-metric second order covariant tensor in an (ϵ,δ)-Trans Sasakian manifold isa constant multiple of metric tensor. Also
Siddiqi, Mohd Danish
core   +1 more source

Ricci‐Bourguignon Solitons With Certain Applications to Relativity

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This article concerns with the investigation of Ricci‐Bourguignon solitons and gradient Ricci‐Bourguignon solitons in perfect fluid space‐times and generalised Robertson–Walker space‐times. First, we deduce the criterion for which the Ricci‐Bourguignon soliton in a perfect fluid space‐time is steady, expanding or shrinking. Then, we establish that if a
Krishnendu De, Mohammad Nazrul Islam Khan, Uday Chand De, Yanlin Li, Pramita Mishra   +4 more
wiley   +1 more source

A Conformal η-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold

Axioms
This paper focuses on some geometrical and physical properties of a conformal η-Ricci soliton (Cη-RS) on a four-dimension Lorentzian Para-Sasakian (LP-S) manifold.
Yanlin Li, Arup Kumar Mallick, Arindam Bhattacharyya, Mića S. Stanković   +3 more
doaj   +1 more source

Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi‐Type

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper is devoted to Ricci solitons admitting a Jacobi‐type vector field. First, we present some rigidity results for Ricci solitons (Mn, g, V, λ) admitting a Jacobi‐type vector field ξ and provide conditions under which ξ is Killing. We also present conditions under which the Ricci soliton (Mn, g, ξ, λ) is isometric to Rn.
Vahid Pirhadi, Ghodratallah Fasihi-Ramandi, Shahroud Azami, Pramita Mishra   +3 more
wiley   +1 more source

On almost η-Ricci-Bourguignon solitons

We investigate a Riemannian manifold with almost η-Ricci-Bourguignon soliton structure. We use the Hodge-de Rham decomposition theorem to make a link with the associated vector field of an almost η-Ricci-Bourguignon soliton.
Traore, Moctar, Aydın, Sibel Gerdan, Taştan, Hakan Mete, Moctar Traore, Hakan Mete Taştan, Sibel Gerdan Aydın   +5 more
core   +1 more source

Ricci Soliton and Conformal Ricci Soliton in Lorentzian β-Kenmotsu Manifold

, 2018
In this paper we have studied quasi conformal curvature tensor, Ricci tensor, projective curvature tensor, pseudo projective curvature tensor in Lorentzian β-Kenmotsu manifold admitting Ricci soliton and conformal Ricci soliton.
Tamalika Dutta (5759696), Arindam Bhattacharyya (533343)   +1 more
core   +1 more source

Pair of Associated η-Ricci–Bourguignon Almost Solitons with Vertical Torse-Forming Potential on Almost Contact Complex Riemannian Manifolds

Mathematics
Each of the studied manifolds has a pair of B-metrics, interrelated by an almost contact structure. The case where each of these metrics gives rise to an η-Ricci–Bourguignon almost soliton, where η is the contact form, is studied.
Mancho Manev
doaj   +1 more source