3 papers
math.DG2025
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…
math.DG2024
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…
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 , in…