Results 31 to 40 of about 214,904 (150)
Conformally Flat Siklos Metrics Are Ricci Solitons [PDF]
Axioms, 2020 We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.
openaire +3 more sources
ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS [PDF]
Communications in Contemporary Mathematics, 2011 In this paper, we first apply an integral identity on Ricci solitons to prove that closed locally conformally flat gradient Ricci solitons are of constant sectional curvature. We then generalize this integral identity to complete noncompact gradient shrinking Ricci solitons, under the conditions that the Ricci curvature is bounded from below and the ...
Cao, Xiaodong, Wang, Biao, Zhang, Zhou
openaire +2 more sources
Conformally Kähler Ricci solitons and base metrics for warped product Ricci solitons [PDF]
Pacific Journal of Mathematics, 2017 typo corrected in Theorem 7 ...
openaire +3 more sources
Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci–Yamabe Soliton
, 2022 The present paper aims to deliberate the geometric composition of a perfect fluid spacetime with torse-forming vector field ξ in connection with conformal Ricci–Yamabe metric and conformal η-Ricci–Yamabe metric.
Soumendu Roy +4 more
core +1 more source
Kenmotsu metric as conformal $η$-Ricci soliton
Journal of Geometry and Physics, 2021 The object of the present paper is to characterize the class of Kenmotsu manifolds which admits conformal $η$-Ricci soliton. Here, we have investigated the nature of the conformal $η$-Ricci soliton within the framework of Kenmotsu manifolds. It is shown that an $η$-Einstein Kenmotsu manifold admitting conformal $η$-Ricci soliton is an Einstein one ...
Sumanjit Sarkar +3 more
openaire +5 more sources
On locally conformally flat gradient steady Ricci solitons [PDF]
Transactions of the American Mathematical Society, 2012 16 pages; final version, to appear in Trans. Amer.
Cao, Huai-Dong, Chen, Qiang
openaire +3 more sources
Locally Conformally Flat Lorentzian Gradient Ricci Solitons [PDF]
Journal of Geometric Analysis, 2011 It is shown that locally conformally flat Lorentzian gradient Ricci solitons are locally isometric to a Robertson-Walker warped product, if the gradient of the potential function is non null, and to a plane wave, if the gradient of the potential function is null. The latter gradient Ricci solitons are necessarily steady.
Brozos-Vázquez, M. +2 more
openaire +2 more sources
∗−Conformal η−Ricci Solitons on α−Cosymplectic Manifolds
International Journal of Analysis and Applications, 2021 The object of this paper is to study ∗−conformal η−Ricci solitons on α−cosymplectic manifolds. First, α−cosymplectic manifolds admitting ∗−conformal η−Ricci solitons satisfying the conditions R(ξ, .) · S and S(ξ, .) · R = 0 are being studied.
Abdul Haseeb, D. G. Prakasha, H. Harish
doaj
Conformal Ricci solitons on generalized (κ,μ)-space forms
International Journal of Geometric Methods in Modern Physics, 2022 In this paper, we study conformal Ricci solitons and conformal gradient Ricci solitons on generalized [Formula: see text]-space forms. The conditions for the solitons to be shrinking, steady and expanding are derived in terms of conformal pressure [Formula: see text]. We show under what conditions a Ricci semi-symmetric generalized [Formula: see text]-
Lone, Mehraj Ahmad, Wani, Towseef Ali
openaire +3 more sources
Characteristics of Sasakian Manifolds Admitting Almost ∗-Ricci Solitons
Fractal and Fractional, 2023 This article presents some results of a geometric classification of Sasakian manifolds (SM) that admit an almost ∗-Ricci soliton (RS) structure (g,ω,X). First, we show that a complete SM equipped with an almost ∗-RS with ω≠ const is a unit sphere.
Vladimir Rovenski, Dhriti Sundar Patra
doaj +1 more source