31 citations · 126 across the 19 of their papers we have counts for
13 papers · 1 filter
Geodesic orbit pseudo-Riemannian H-type nilmanifolds: case of minimal admissible Clifford modules
Kenro Furutani, Irina Markina, Yurii Nikonorov
We investigate the geodesic orbit property of pseudo-Riemannian nilmanifolds, specifically those known in the literature as pseudo -type Lie groups -- i.e., 2-step nilpotent Lie…
On homogeneous geodesics and weakly symmetric spaces
V. N. Berestovskii, Yu. G. Nikonorov
In this paper, we establish a sufficient condition for a geodesic in a Riemannian manifold to be homogeneous, i.e. an orbit of an -parameter isometry group. As an application of…
Geodesic orbit Riemannian spaces with two isotropy summands. I
Zhiqi Chen, Yu. G. Nikonorov
The paper is devoted to the study of geodesic orbit Riemannian spaces that could be characterize by the property that any geodesic is an orbit of a 1-parameter group of isometries.…
Invariant Einstein metrics on generalized Wallach spaces
Zhiqi Chen, Yu. G. Nikonorov
Invariant Einstein metrics on generalized Wallach spaces have been classified except . In this paper, we give a survey on the study of inva…
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 , , and . W…
Killing vector fields of constant length on compact homogeneous Riemannian manifolds
Yu. G. Nikonorov
In this paper we present some structural results on the Lie algebras of transitive isometry groups of a general compact homogenous Riemannian manifold with nontrivial Killing vecto…