output
20102026
most citedClassification of generalized Wallach spaces

31 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing math.DGShow all

14 papers · 1 filter

math.DG2024★ 2 cited

On geodesic orbit nilmanifolds

Yu. G. Nikonorov

The paper is devoted to the study of geodesic orbit Riemannian metrics on nilpotent Lie groups. The main result is the construction of continuous families of pairwise non-isomorphi…

math.DG2019★ 2 cited

Algebraic properties of bounded Killing vector fields

Ming Xu, Yu. G. Nikonorov

In this paper, we consider a connected Riemannian manifold where a connected Lie group acts effectively and isometrically. Assume defines…

math.DG2019★ 6 cited

Spectral properties of Killing vector fields of constant length

Yu. G. Nikonorov

This paper is devoted to the study of properties of Killing vector fields of constant length on Riemannian manifolds. If is a Lie algebra of Killing vector fields on…

math.DG2018★ 21 cited

Geodesic Orbit Riemannian Structures on

Carolyn S. Gordon, Yuriĭ G. Nikonorov

A geodesic orbit manifold is a complete Riemannian manifold all of whose geodesics are orbits of one-parameter groups of isometries. We give both a geometric and an algebraic chara…

math.DG2018★ 6 cited

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…

math.DG2017★ 13 cited

On invariant Riemannian metrics on Ledger-Obata spaces

Y. Nikolayevsky, Yu. G. Nikonorov

We study invariant metrics on Ledger-Obata spaces . We give the classification and an explicit construction of all naturally reductive metrics, and also show…

math.DG2017★ 20 cited

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.…

math.DG2016★ 20 cited

On left-invariant Einstein Riemannian metrics that are not geodesic orbit

Yu. G. Nikonorov

In this paper we prove that the compact Lie group admits a left-invariant Einstein metric that is not geodesic orbit. In order to prove the required assertion, we develop som…

math.DG2016★ 11 cited

Invariant Einstein metrics on Ledger-Obata spaces

Zhiqi Chen, Yuriĭ Nikonorov, Yulia Nikonorova

In this paper, we study invariant Einstein metrics on Ledger-Obata spaces . In particular, we classify invariant Einstein metrics on $F^4/\operatorname{…

math.DG2015★ 7 cited

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…

math.DG2014★ 31 cited

Classification of generalized Wallach spaces

Yu. G. Nikonorov

In this paper, we present the classification of generalized Wallach spaces and discuss some related problems.

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…

math.DG2012★ 4 cited

Negative eigenvalues of the Ricci operator of solvable metric Lie algebras

Yu. G. Nikonorov

In this paper we get a necessary and sufficient condition for the Ricci operator of a solvable metric Lie algebra to have at least two negative eigenvalues. In particular, this con…

math.DG2010★ 3 cited

Asymptotic behavior of support points for planar curves

Yu. G. Nikonorov

In this paper we prove a universal inequality describing the asymptotic behavior of support points for planar continuous curves. As corollaries we get an analogous result for tange…