16 citations · 33 across the 8 of their papers we have counts for
8 papers
Refined behavior description of the normalized Ricci flow on homogeneous spaces
Nurlan A. Abiev
This article deals with the problems of preserving the Ricci curvature positivity on homogeneous spaces under the normalized Ricci flow (NRF). We found out infinitely many generali…
The Ricci curvature and the normalized Ricci flow on the Stiefel manifolds
Nurlan Abiev
We proved that on every Stiefel manifold with the normalized Ricci flow preserves the positivity of the…
Ricci curvature and normalized Ricci flow on generalized Wallach spaces
Nurlan Abiev
We proved that the normalized Ricci flow does not preserve the positivity of Ricci curvature of Riemannian metrics on every generalized Wallach space with , in…
On properties of the sets of positively curved Riemannian metrics on generalized Wallach spaces
Nurlan Abiev
Sets related to positively curved invariant Riemannian metrics on generalized Wallach spaces are considered. The problem arises in studying of the evolution of such metrics under t…
On the dynamics of a three-dimensional differential system related to the normalized Ricci flow on generalized Wallach spaces
Nurlan Abiev
We study the behavior of a three-dimensional dynamical system with respect to some set given in 3-dimensional euclidian space. Geometrically such a system arises from the norma…
The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow
N. A. Abiev, Yu. G. Nikonorov
This paper is devoted to the study of the evolution of positively curved metrics on the Wallach spaces , , and . W…
On topological structure of some sets related to the normalized Ricci flow on generalized Wallach spaces
N. A. Abiev
We study topological structures of the sets and , where~ is one special algebraic surface defined by a symmetric polynomial in variable…
The Ricci flow on generalized Wallach spaces
N. A. Abiev, A. Arvanitoyeorgos, Yu. G. Nikonorov +1
We consider the asymptotic behavior of the normalized Ricci flow on generalized Wallach spaces that could be considered as special planar dynamical systems. All non symmetric gener…