On topological structure of some sets related to the normalized ricci flow on generalized Wallach spaces
Автор: Abiev Nurlan Abievich
Журнал: Владикавказский математический журнал @vmj-ru
Статья в выпуске: 3 т.17, 2015 года.
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We study topological structures of the sets $(0,1/2)^3 \cap \Omega$ and $(0,1/2)^3 \setminus \Omega$, where $\Omega$ is one special algebraic surface defined by a symmetric polynomial of degree $12$. These problems arise in studying of general properties of degenerate singular points of dynamical systems obtained from the~normalized Ricci flow on generalized Wallach spaces. Our main goal is to prove the connectedness of $(0,1/2)^3 \cap \Omega$ and to determine the number of connected components of $(0,1/2)^3 \setminus \Omega$.
Riemannian metric, generalized wallach space, normalized ricci flow, dynamical system, degenerate singular point of dynamical system, real algebraic surface, singular point of real algebraic surface
Короткий адрес: https://sciup.org/14318509
IDR: 14318509
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