Geodesic
On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow
Matematičeskie trudy, Tome 20 (2017) no. 1, pp. 3-20

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper is devoted to the study of the evolution of invariant Riemannian metrics on the special class of generalized Wallach spaces corresponding to the case of $a_1=a_2=a_3=1/4$. We prove that the normalized Ricci flow evolves all generic invariant Riemannian metrics into metrics with positive Ricci curvature. 
@article{MT_2017_20_1_a0,
     author = {N. A. Abiev},
     title = {On the evolution of invariant {Riemannian} metrics on one class of generalized {Wallach} spaces under the influence of the normalized {Ricci} flow},
     journal = {Matemati\v{c}eskie trudy},
     pages = {3--20},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2017_20_1_a0/}
}
TY  - JOUR
AU  - N. A. Abiev
TI  - On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow
JO  - Matematičeskie trudy
PY  - 2017
SP  - 3
EP  - 20
VL  - 20
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MT_2017_20_1_a0/
LA  - ru
ID  - MT_2017_20_1_a0
ER  - 
%0 Journal Article
%A N. A. Abiev
%T On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow
%J Matematičeskie trudy
%D 2017
%P 3-20
%V 20
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MT_2017_20_1_a0/
%G ru
%F MT_2017_20_1_a0
N. A. Abiev. On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow. Matematičeskie trudy, Tome 20 (2017) no. 1, pp. 3-20. http://geodesic.mathdoc.fr/item/MT_2017_20_1_a0/