Compact lcK manifolds with parallel vector fields

Andrei Moroianu. "Compact lcK manifolds with parallel vector fields." Complex Manifolds 2.1 (2015): 26-33, electronic only. <http://eudml.org/doc/275837>.

@article{AndreiMoroianu2015,
abstract = {We show that for n > 2 a compact locally conformally Kähler manifold (M2n , g, J) carrying a nontrivial parallel vector field is either Vaisman, or globally conformally Kähler, determined in an explicit way by a compact Kähler manifold of dimension 2n − 2 and a real function.},
author = {Andrei Moroianu},
journal = {Complex Manifolds},
keywords = {Vaisman manifolds; lcK manifolds; parallel vector fields; locally conformally Kähler manifolds},
language = {eng},
number = {1},
pages = {26-33, electronic only},
title = {Compact lcK manifolds with parallel vector fields},
url = {http://eudml.org/doc/275837},
volume = {2},
year = {2015},
}

TY - JOUR
AU - Andrei Moroianu
TI - Compact lcK manifolds with parallel vector fields
JO - Complex Manifolds
PY - 2015
VL - 2
IS - 1
SP - 26
EP - 33, electronic only
AB - We show that for n > 2 a compact locally conformally Kähler manifold (M2n , g, J) carrying a nontrivial parallel vector field is either Vaisman, or globally conformally Kähler, determined in an explicit way by a compact Kähler manifold of dimension 2n − 2 and a real function.
LA - eng
KW - Vaisman manifolds; lcK manifolds; parallel vector fields; locally conformally Kähler manifolds
UR - http://eudml.org/doc/275837
ER -