# Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

## Homogeneous Riemannian manifolds with generic Ricci tensor

### Tom 77 / 2001

Annales Polonici Mathematici 77 (2001), 271-287 MSC: 53C30, 53C15, 53D05. DOI: 10.4064/ap77-3-6

#### Streszczenie

We describe homogeneous manifolds with generic Ricci tensor. We also prove that if ${\frak g}$ is a 4-dimensional unimodular Lie algebra such that dim$[{\frak g},{\frak g}]\le 2$ then every left-invariant metric on the Lie group $G$ with Lie algebra ${\frak g}$ admits two mutually opposite compatible left-invariant almost Kähler structures.

#### Autorzy

• W/lodzimierz JelonekInstitute of Mathematics
Technical University of Cracow
Warszawska 24
31-155 Krak/ow, Poland Institute of Mathematics