TY - JOUR
T1 - Natural almost Hermitian structures on conformally foliated 4-dimensional Lie groups with minimal leaves
AU - Andersdotter Svensson, Emma
AU - Gudmundsson, Sigmundur
PY - 2023
Y1 - 2023
N2 - Let (G, g) be a 4-dimensional Riemannian Lie group with a 2-dimensional left-invariant,
conformal foliation F with minimal leaves. Let J be an almost Hermitian structure on G
adapted to the foliation F . We classify such structures J which are almost Kähler (AK),
integrable (I) or Kähler (K). Hereby we construct several new multi-dimensional examples
in each class.
AB - Let (G, g) be a 4-dimensional Riemannian Lie group with a 2-dimensional left-invariant,
conformal foliation F with minimal leaves. Let J be an almost Hermitian structure on G
adapted to the foliation F . We classify such structures J which are almost Kähler (AK),
integrable (I) or Kähler (K). Hereby we construct several new multi-dimensional examples
in each class.
KW - harmonic morphisms, foliations, almost complex structures
U2 - 10.1007/s12215-022-00779-y
DO - 10.1007/s12215-022-00779-y
M3 - Article
SN - 0009-725X
VL - 72
SP - 2265
EP - 2286
JO - Rendiconti del Circolo Matematico di Palermo
JF - Rendiconti del Circolo Matematico di Palermo
ER -