Constrained deformations of positive scalar curvature metrics, II
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
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Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian $Π$-manifolds [PDF]
, 2022 Hristo Manev, Манчо Манев
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Hyperbolic Ricci solitons on perfect fluid spacetimes
AIMS MathematicsIn the present paper, we investigate perfect fluid spacetimes and perfect fluid generalized Roberston-Walker spacetimes that contain a torse-forming vector field satisfying almost hyperbolic Ricci solitons.
Shahroud Azami +3 more
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Gradient pseudo‐Ricci solitons of real hypersurfaces
Mathematische Nachrichten, Volume 297, Issue 1, Page 63-82, January 2024.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
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The Riemannian Bianchi identities of metric connections with skew torsion and generalized Ricci solitons [PDF]
, 2023 Stefan Ivanov, Nikola Stanchev
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Unique Asymptotics of Steady Ricci Solitons with Symmetry [PDF]
, 2023 Zilu Ma +2 more
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A Gradient Bound for the Allen-Cahn Equation Under Almost Ricci Solitons [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we consider positive solutions for the Allen-Cahn equation\begin{equation*}\Delta u+\left(1-u^{2}\right)u=0,\end{equation*}on an almost Ricci soliton without a boundary. Firstly, using volume comparison Theorem and Sobolev inequality, we
Sakineh Hajiaghasi, Shahroud Azami
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Conformally Flat Siklos Metrics Are Ricci Solitons
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.
Giovanni Calvaruso
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The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav +4 more
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Solitonic effect on relativistic string cloud spacetime attached with strange quark matter
AIMS MathematicsIn this research paper, we discussed some geometric axioms of a relativistic string cloud spacetime attached with strange quark matter. We determined the conformal $ \eta $-Ricci soliton on a relativistic string cloud spacetime attached with strange ...
Yanlin Li +4 more
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