Homogeneous Riemannian manifolds with generic Ricci tensor

Włodzimierz Jelonek. "Homogeneous Riemannian manifolds with generic Ricci tensor." Annales Polonici Mathematici 77.3 (2001): 271-287. <http://eudml.org/doc/280472>.

@article{WłodzimierzJelonek2001,
abstract = {We describe homogeneous manifolds with generic Ricci tensor. We also prove that if 𝔤 is a 4-dimensional unimodular Lie algebra such that dim[𝔤,𝔤] ≤ 2 then every left-invariant metric on the Lie group G with Lie algebra 𝔤 admits two mutually opposite compatible left-invariant almost Kähler structures.},
author = {Włodzimierz Jelonek},
journal = {Annales Polonici Mathematici},
keywords = {generic Ricci tensor; geodesic orbit space; almost Kähler structure; Kähler structure},
language = {eng},
number = {3},
pages = {271-287},
title = {Homogeneous Riemannian manifolds with generic Ricci tensor},
url = {http://eudml.org/doc/280472},
volume = {77},
year = {2001},
}

TY - JOUR
AU - Włodzimierz Jelonek
TI - Homogeneous Riemannian manifolds with generic Ricci tensor
JO - Annales Polonici Mathematici
PY - 2001
VL - 77
IS - 3
SP - 271
EP - 287
AB - We describe homogeneous manifolds with generic Ricci tensor. We also prove that if 𝔤 is a 4-dimensional unimodular Lie algebra such that dim[𝔤,𝔤] ≤ 2 then every left-invariant metric on the Lie group G with Lie algebra 𝔤 admits two mutually opposite compatible left-invariant almost Kähler structures.
LA - eng
KW - generic Ricci tensor; geodesic orbit space; almost Kähler structure; Kähler structure
UR - http://eudml.org/doc/280472
ER -