activity
20022024
most citedOn invariant Riemannian metrics on Ledger-Obata spaces

13 citations · 73 across the 38 of their papers we have counts for

collaborators

40 papers

math.DG2024

On weakly Einstein Lie groups

Yunhee Euh, Sinhwi Kim, Yuri Nikolayevsky +1

A Riemannian manifold is called \emph{weakly Einstein} if the tensor is a scalar multiple of the metric tensor . We consider weakly Einstein Lie gro…

math.DG2024

Weakly Einstein hypersurfaces in space forms

Jihun Kim, Yuri Nikolayevsky, JeongHyeong Park

A Riemannian manifold is called \emph{weakly Einstein} if the tensor is a scalar multiple of the metric tensor . We give a complete classifi…

math.DG2023

Pseudo-Riemannian geodesic orbit nilmanifolds of signature

Zhiqi Chen, Yuri Nikolayevsky, Joseph A. Wolf +1

The geodesic orbit property is useful and interesting in itself, and it plays a key role in Riemannian geometry. It implies homogeneity and has important classes of Riemannian mani…

math.CO2023

On triangular biregular degree sequences

Benjamin Egan, Yuri Nikolayevsky

A simple graph is called triangular if every edge of it belongs to a triangle. We conjecture that any graphical degree sequence all terms of which are greater than or equal to 4 ha…

math.DG2022

The Structure of Geodesic Orbit Lorentz Nilmanifolds

Yuri Nikolayevsky, Joseph A. Wolf

The geodesic orbit property is useful and interesting in Riemannian geometry. It implies homogeneity and has important classes of Riemannian manifolds as special cases. Those class…

math.DG2022

Respectful decompositions of Lie algebras

Grant Cairns, Yuri Nikolayevsky

One of Pierre Molino's principal mathematical achievements was his theory of Riemannian foliations. One of his last papers, published in 2001, showed that his theory could be exten…