Results 61 to 70 of about 205,228 (147)

Geometric Characterizations of Riemann Solitons

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we find the geometric characterizations of Riemann solitons within the background of co‐Kähler manifolds admitting semisymmetric metric ζ‐connection. Let (g, V) be a Riemann soliton on a co‐Kähler manifold M admitting a semisymmetric metric ζ‐connection.
Abdul Haseeb, Meraj Ali Khan, D. G. Prakasha, T. Manjula, Murat Altunbaş   +4 more
wiley   +1 more source

On conformal collineation and almost Ricci solitons

Journal of Geometry and Physics
We provide conditions for a Riemannian manifold with a nontrivial closed affine conformal Killing vector field to be isometric to a Euclidean sphere or to the Euclidean space. Also, we formulate some triviality results for almost Ricci solitons with affine conformal Killing potential vector field.
Adara M. Blaga, Bang-Yen Chen
openaire   +2 more sources

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

Golden Riemannian Manifolds Admitting Ricci–Bourguignon Solitons

Mathematics
In this paper, we examine Ricci–Bourguignon solitons on locally decomposable golden Riemannian manifolds of constant golden sectional curvature. First, we establish an explicit expression for the soliton constant in terms of the golden structure and the ...
Bang-Yen Chen, Foued Aloui, Afshan Perween, Majid Ali Choudhary   +3 more
doaj   +1 more source

Impact of Solitonic Structures on Kählerian Norden Space-Times

Axioms
This manuscript investigates conformal η-Ricci–Yamabe solitons of type (κ,l) on Kählerian Norden space-time admitting a Kählerian Norden torse-forming vector field.
Sahar H. Nazra, Sunil Kumar Yadav, Sameh Shenawy, Carlo Mantica   +3 more
doaj   +1 more source

Riemann Solitons on Homogeneous Siklos Spacetimes

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we investigate the properties of Riemann solitons on homogeneous Siklos spacetimes. Siklos spacetimes, which are special solutions to Einstein’s equations with a wave‐like potential, provide a suitable setting for studying the geometric properties of Riemann solitons.
Mehdi Jafari, Amirhesam Zaeim, Adele Alemahdi, Erhan Güler   +3 more
wiley   +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

Conformal Ricci solitons of Lagrangian submanifolds in K\"{a}hler manifolds

Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan, 2020
Summary: The object of the paper is to study a compact Lagrangian submanifold \(M\) in Kähler manifolds, such that the induced metric on the Lagrangian submanifolds is a conformal Ricci soliton with respect to potential vector field given by mean curvature vector field.
openaire   +2 more sources

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

Gradient Weyl-Ricci Soliton

, 2020
The classical notion of gradient Ricci soliton is extended here to the gradient Weyl-Ricci soliton. A Weyl structure of the base manifold M is lifted to its tangent bundle TM, by using the Sasaki metric.
Kilic, Erol, Bejan, Cornelia-Livia, Meric, Semsi Eken   +2 more
core   +1 more source