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

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

We proved that on every Stiefel manifold $ V_2\mathbb{R}^n\cong \operatorname{SO}(n)/\operatorname{SO}(n-2) $ with $ n\ge 3 $ the normalized Ricci flow preserves the positivity of the Ricci curvature of invariant Riemannian metrics with positive Ricci curvature. Moreover, the normalized Ricci flow e...

Full description

Saved in:
Bibliographic Details
Main Author: Nurlan A. Abiev
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:Electronic Research Archive
Subjects:
stiefel manifold
riemannian metric
normalized ricci flow
ricci curvature
dynamical system
invariant set
singular point
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2025084
Tags: Add Tag
No Tags, Be the first to tag this record!

Internet

https://www.aimspress.com/article/doi/10.3934/era.2025084

Similar Items