Results 41 to 50 of about 140 (130)

k-Almost Newton-Conformal Ricci Solitons on Hypersurfaces Within Golden Riemannian Manifolds with Constant Golden Sectional Curvature

Axioms
The current work establishes the geometrical bearing for hypersurfaces in a Golden Riemannian manifold with constant golden sectional curvature with respect to k-almost Newton-conformal Ricci solitons.
Amit Kumar Rai, Majid Ali Choudhary, Mohd. Danish Siddiqi, Ghodratallah Fasihi-Ramandi, Uday Chand De, Ion Mihai   +5 more
doaj   +1 more source

CONFORMAL SIGMA MODELS WITH ANOMALOUS DIMENSIONS AND RICCI SOLITONS [PDF]

Modern Physics Letters A, 2005
We present new non-Ricci-flat Kähler metrics with U(N) and O(N) isometries as target manifolds of superconformally invariant sigma models with an anomalous dimension. They are so-called Ricci solitons, special solutions to a Ricci-flow equation. These metrics explicitly contain the anomalous dimension and reduce to Ricci-flat Kähler metrics on the ...
openaire   +2 more sources

Optimization of Soliton Structures Using Lifting Theory on Tangent Bundles of Statistical Kenmotsu Manifolds

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan, Lalnunenga Colney, Teg Alam, Pramita Mishra   +3 more
wiley   +1 more source

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

Hyperbolic conformal Ricci solitons and gradient hyperbolic conformal Ricci solitons on bulk viscous fluid string spacetime

European Physical Journal C: Particles and Fields
We explore the Geometrization of hyperbolic conformal Ricci solitons and examine the properties of bulk viscous fluid string spacetime in conjunction with the hyperbolic conformal Ricci solitons in this research note. A $$\varnothing ({\mathfrak {Q}})$$ ∅
Mohd Danish Siddiqi, Amira A. Ishan, Meraj Ali Khan   +2 more
doaj   +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, Arindam Bhattacharyya
openaire   +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

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

Rigidity Characterizations of Conformal Solitons

Mathematics
We study the rigidity of conformal solitons, give a sufficient and necessary condition that guarantees that every closed conformal soliton is gradient conformal soliton, and prove that complete conformal solitons with a nonpositive Ricci curvature must ...
Junsheng Gong, Jiancheng Liu
doaj   +1 more source