Results 121 to 130 of about 387 (181)
The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons
, 2018 We describe the structure of the Ricci tensor on a locally homogeneous Lorentzian gradient Ricci soliton. In the non-steady case, we show that the soliton is rigid in dimensions 3 and 4. In the steady case we give a complete classification in dimension 3.
S. Gavino-Fernández +3 more
core +1 more source
Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor
AxiomsIn this article, we study the Ricci soliton on slant submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection. Moreover, we derive a lower-bound-type inequality for the slant submanifolds of trans-Sasakian manifolds with a ...
Mohd Danish Siddiqi, Rawan Bossly
doaj +1 more source
∗-Ricci Soliton within the frame-work of Sasakian and (κ,μ)-contact manifold
, 2018 We prove that if a Sasakian metric is a ∗-Ricci Soliton, then it is either positive Sasakian, or null-Sasakian. Next, we prove that if a complete Sasakian metric is an almost gradient ∗-Ricci Soliton, then it is positive-Sasakian and isometric to a unit
Amalendu Ghosh, Dhriti Sundar Patra
core +1 more source
Gradient Kahler Ricci Solitons
, 2004 Some observations about the local and global generality of gradient Kahler Ricci solitons are made, including the existence of a canonically associated holomorphic volume form and vector field, the local generality of solutions with a prescribed holomorphic volume form and vector field, and the existence of Poincare coordinates in the case that the ...
openaire +2 more sources
MathematicsIn this article, we investigate Ricci solitons occurring on spacelike hypersurfaces of Einstein Lorentzian manifolds. We give the necessary and sufficient conditions for a spacelike hypersurface of a Lorentzian manifold, equipped with a closed conformal ...
Norah Alshehri, Mohammed Guediri
doaj +1 more source
Rigidity of Complete Gradient Steady Ricci Solitons with Harmonic Weyl Curvature
, 2023 Our main aim in this paper is to investigate the rigidity of complete noncompact gradient steady Ricci solitons with harmonic Weyl tensor. More precisely, we prove that an $n$-dimensional ($n\geq 5$) complete noncompact gradient steady Ricci soliton with
Li, Fengjiang
core +1 more source
Synectic lift metrics on tangent bundles: exploring soliton structures and gradient variants
Let TM be the tangent bundle with the synectic lift on the n-dimensional Riemannian manifold M. The objective of this article is to investigate the properties of Ricci soliton and generalized Ricci-Yamabe soliton structures according to the synectic lift
Velioğlu, Hatice Vildan +2 more
core +1 more source
Half conformally flat gradient Ricci almost solitons. [PDF]
Proc Math Phys Eng Sci, 2016 Brozos-Vázquez M +2 more
europepmc +1 more source