Results 11 to 20 of about 148 (141)
Gradient pseudo‐Ricci solitons of real hypersurfaces
Mathematische Nachrichten, Volume 297, Issue 1, Page 63-82, January 2024., 2023 Abstract Let M be a real hypersurface of a complex space form Mn(c)$M^n(c)$, c≠0$c\ne 0$. Suppose that the structure vector field ξ of M is an eigen vector field of the Ricci tensor S, Sξ=βξ$S\xi =\beta \xi$, β being a function. We study on M, a gradient pseudo‐Ricci soliton (M,g,f,λ,μ$M,g,f,\lambda ,\mu$) that is an extended concept of gradient Ricci ...
Mayuko Kon
wiley +4 more sources
Ricci-Bourguignon Solitons With Certain Applications to Relativity
Journal of MathematicsThis 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.
Krishnendu De +3 more
doaj +2 more sources
2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons
Journal of MathematicsIn this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few
Rawan Bossly +2 more
doaj +2 more sources
Some New Characterizations of Trivial Ricci–Bourguignon Solitons
Journal of MathematicsA Ricci–Bourguignon soliton is a self-similar solution to the Ricci–Bourguignon flow equation, and a Ricci–Bourguignon soliton is called trivial if its potential field is zero or killing.
Hana Al-Sodais +4 more
doaj +2 more sources
A Study on Contact Metric Manifolds Admitting a Type of Solitons
Journal of MathematicsThe principal aim of the present article is to characterize certain properties of η-Ricci–Bourguignon solitons on three types of contact manifolds, that are K-contact manifolds, κ,μ-contact metric manifolds, and Nκ-contact metric manifolds.
Tarak Mandal +3 more
doaj +2 more sources
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
Rigidity of gradient Ricci solitons [PDF]
Pacific Journal of Mathematics, 2009 We define a gradient Ricci soliton to be rigid if it is a flat bundle $% N\times_ \mathbb{R}^{k}$ where $N$ is Einstein. It is known that not all gradient solitons are rigid. Here we offer several natural conditions on the curvature that characterize rigid gradient solitons. Other related results on rigidity of Ricci solitons are also explained in the
Petersen, Peter, Wylie, William
openaire +2 more sources
Rigidity of gradient shrinking Ricci solitons [PDF]
Asian Journal of Mathematics, 2020 26 ...
Yang, Fei, Zhang, Liangdi
openaire +3 more sources
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
∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds [PDF]
Mathematica Slovaca, 2019 Abstract In this paper, we consider *-Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if (M, g) is a Kenmotsu manifold and g is a *-Ricci soliton, then soliton constant λ is zero. For 3-dimensional case, if M admits a *-Ricci soliton, then we show that M is of constant sectional curvature –1. Next, we show that if M admits a
Venkatesh, Venkatesha +2 more
openaire +2 more sources