M. Kh Dulati Taraz State University

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20132022

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

16 citations

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math.DG2015★ 16 cited

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 $S U (3) / T_{m a x}$ , $S p (3) / S p (1) \times S p (1) \times S p (1)$ , and $F_{4} / S p in (8)$ . W…

math.DG2013★ 13 cited

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…