N. Abiev

activity

20132025

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

16 citations · 33 across the 8 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

math.DG2024

The Ricci curvature and the normalized Ricci flow on the Stiefel manifolds $SO (n) / SO (n - 2)$

Nurlan Abiev

We proved that on every Stiefel manifold $V_{2} R^{n} ≅ SO (n) / SO (n - 2)$ with $n \geq 3$ the normalized Ricci flow preserves the positivity of the…

math.DG2024

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 $a_{1} + a_{2} + a_{3} \leq 1/2$ , in…

math.DG2024

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…

The Ricci curvature and the normalized Ricci flow on the Stiefel manifolds SO(n)/SO(n−2)

Ricci curvature and normalized Ricci flow on generalized Wallach spaces

On properties of the sets of positively curved Riemannian metrics on generalized Wallach spaces

The Ricci curvature and the normalized Ricci flow on the Stiefel manifolds $SO (n) / SO (n - 2)$