On the dynamics of a three-dimensional differential system related to the normalized Ricci flow on generalized Wallach spaces (Q6595831)

scientific article; zbMATH DE number 7904185

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English	On the dynamics of a three-dimensional differential system related to the normalized Ricci flow on generalized Wallach spaces	scientific article; zbMATH DE number 7904185

Statements

instance of

scholarly article

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title

On the dynamics of a three-dimensional differential system related to the normalized Ricci flow on generalized Wallach spaces (English)

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author

Nurlan Abievich Abiev

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published in

Results in Mathematics

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publication date

30 August 2024

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zbMATH Keywords

generalized Wallach spaces

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normalized Ricci flow

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MaRDI profile type

Publication

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cites work

On topological structure of some sets related to the normalized Ricci flow on generalized Wallach spaces

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On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow

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The dynamics of the Ricci flow on generalized Wallach spaces

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The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow

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An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures

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Investigation of a real algebraic surface

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A real variety with boundary and its global parameterization

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Les variétés riemanniennes homogenes simplement connexes de dimension impaire à courbure strictement positive

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Nonnegatively curved manifolds with finite fundamental groups admit metrics with positive Ricci curvature

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Invariant Einstein metrics on three-locally-symmetric spaces

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Ricci flow and curvature on the variety of flags on the two dimensional projective space over the complexes, quaternions and octonions

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Qualitative theory of planar differential systems

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Three-manifolds with positive Ricci curvature

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Qualitative classification of singular points

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On the global dynamics of a three-dimensional forced-damped differential system

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Invariant Einstein metrics on three-locally-symmetric spaces

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Three-dimensional forced-damped dynamical systems with rich dynamics: bifurcations, chaos and unbounded solutions

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On one class of homogeneous compact Einstein manifolds

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Classification of generalized Wallach spaces

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Geometry of homogeneous Riemannian manifolds

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Optimal pinching constants of odd dimensional homogeneous spaces

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Einstein metrics on even-dimensional homogeneous spaces admitting a homogeneous Riemannian metric of positive sectional curvature

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Isometry groups of homogeneous spaces with positive sectional curvature

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Sliding Bifurcation Analysis and Global Dynamics for a Filippov Predator-prey System

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Precise estimates for the sectional curvatures of homogeneous Riemannian metrics on Wallach spaces

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Positively curved homogeneous metrics on spheres

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Sectional curvatures of a diagonal family of \(\text{Sp} (n+1)\)-invariant metrics on \((4n+3)\)-dimensional spheres

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A family of metric on the 15-dimensional sphere

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Sectional curvatures of nonstandard metrics on \(\mathbf {{CP}}^{2n+1}\)

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Compact homogeneous Riemannian manifolds with strictly positive curvature

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The normal homogeneous space (𝖲𝖴(3)×𝖲𝖮(3))/𝖴^{∙}(2) has positive sectional curvature

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Revisiting homogeneous spaces with positive curvature

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\(\mathrm{Sp}(2) / \mathrm{U}(1)\) and a positive curvature problem

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Identifiers

zbMATH Open document ID

1547.53113

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Mathematics Subject Classification ID

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10.1007/S00025-024-02229-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:6595831