A5069071723- Geometric Analysis and Curvature Flows
- Geometry and complex manifolds
- Advanced Differential Geometry Research
- Nonlinear Partial Differential Equations
- Advanced Mathematical Modeling in Engineering
- Spectral Theory in Mathematical Physics
- Cosmology and Gravitation Theories
- Numerical methods in inverse problems
- Black Holes and Theoretical Physics
- Advanced Mathematical Theories and Applications
- Mathematical Dynamics and Fractals
- Differential Equations and Boundary Problems
- Advanced Mathematical Physics Problems
- Nonlinear Waves and Solitons
- Advanced Algebra and Geometry
- advanced mathematical theories
- Mathematics and Applications
- Algebraic Geometry and Number Theory
- Advanced Topics in Algebra
- Differential Equations and Numerical Methods
- Advanced Neuroimaging Techniques and Applications
- Fluid Dynamics and Turbulent Flows
- Aquatic and Environmental Studies
- Advanced Numerical Analysis Techniques
- Analytic and geometric function theory
Imam Khomeini International University
2016-2025
Amirkabir University of Technology
2012
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This article provides a Li–Yau-type gradient estimate for semilinear weighted parabolic system of equations along an abstract geometric flow on smooth measure space. A Harnack-type inequality the is also derived at end.
<abstract><p>We investigate the Yamabe constant's behaviour in a conformal Ricci flow. For flow metric $ g(t) $, t \in [0, T) time evolution formula for constant Y(g(t)) is derived. It demonstrated that if beginning g(0) = g_0 metric, then monotonically growing along under some simple assumptions unless Einstein. As result, this study adds to body of knowledge about problem.</p></abstract>
<p>In this paper, we consider Egorov and Cahen-Wallach symmetric spaces study the Riemann solitons on these spaces. We prove that admit solitons. Also, classify show potential vector fields of are Killing, Ricci collineation, bi-conformal fields.</p>
International Journal of Geometric Methods in Modern PhysicsAccepted Papers No AccessRiemann Solitons on Vaidya SpacetimesShahroud Azami, Ghodratallah Fasihi-Ramandi, and Mosayeb ZohrevandShahroud Fasihi-Ramandihttps://orcid.org/0000-0001-6590-3751 Search for more papers by this author , Zohrevand https://doi.org/10.1142/S0219887825501324Cited by:0 (Source: Crossref) PreviousNext AboutFiguresReferencesRelatedDetailsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend...
Abstract This research paper seeks to investigate the characteristics of almost Riemann solitons and gradient within framework generalized Robertson Walker (GRW) spacetimes that incorporate imperfect fluids. Our study begins by defining specific properties potential vector field linked these solitons. &#xD; We examine an soliton on GRW fluid spacetimes, establishing it aligns collinearly with a unit timelike torse-forming field. leads us express scalar curvature in relation structures...
In this paper, we investigate hyperbolic Ricci soliton as the special solution of geometric flow on warped product manifolds. Then, especially, study these manifolds admitting either a conformal vector field or concurrent field. Also, question that:? whether not reduces to an Einstein manifold?? is considered and answered. Finally, obtain some necessary conditions for generalized Robertson-Walker space-time be soliton.
<abstract><p>In the present paper, we investigate perfect fluid spacetimes and generalized Roberston-Walker that contain a torse-forming vector field satisfying almost hyperbolic Ricci solitons. We show satisfy an soliton, prove spacetime soliton $ (g, \zeta, \varrho, \mu) is Einstein manifold. Also, study V, on these when V conformal field, or bi-conformal field.</p></abstract>
Abstract In this paper, we study the affine generalized Ricci solitons on three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-Nomizu classifying these left-invariant with some product structure.
In this paper, we study left-invariant cross curvature solitons on Lorentzian three-dimensional Lie groups and classify these solitons.
The method of gradient estimation for the heat-type equation using Harnack quantity is a classical approach used understanding nature solution these equations. Most studies in this field involve Laplace–Beltrami operator, but our case, we studied weighted heat that involves Laplacian. This produces number terms involving weight function. Thus, article, derive estimate positive nonlinear parabolic on Riemannian manifold evolving under geometric flow. Applying estimation, Li–Yau-type and...
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This paper shows that the Ricci flow on Finsler manifolds with Berwald metrics cannot possibly be strictly parabolic. Then, we will define a modified which is parabolic and by using it, prove existence uniqueness for solution of manifolds.
Abstract In this paper, we characterize the generalized Ricci soliton equation on three-dimensional Lorentzian Walker manifolds. We prove that every with $$C, \beta ,\mu \ne 0$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> <mml:mo>,</mml:mo> <mml:mi>β</mml:mi> <mml:mi>μ</mml:mi> <mml:mo>≠</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:math> a manifold is steady. Moreover, non-trivial solutions for strictly manifolds are derived. Finally, give some...