Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics

Giovanni Bazzoni, and Juan Carlos Marrero. "Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics." Complex Manifolds 4.1 (2017): 172-178. <http://eudml.org/doc/288467>.

@article{GiovanniBazzoni2017,
abstract = {We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics. We construct such an example on a compact 4-dimensional nilmanifold, not the product of a compact 3-manifold and a circle.},
author = {Giovanni Bazzoni, Juan Carlos Marrero},
journal = {Complex Manifolds},
keywords = {Locally conformal symplectic manifolds; Locally conformal Kähler manifolds; Compact nilmanifolds},
language = {eng},
number = {1},
pages = {172-178},
title = {Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics},
url = {http://eudml.org/doc/288467},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Giovanni Bazzoni
AU - Juan Carlos Marrero
TI - Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
JO - Complex Manifolds
PY - 2017
VL - 4
IS - 1
SP - 172
EP - 178
AB - We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics. We construct such an example on a compact 4-dimensional nilmanifold, not the product of a compact 3-manifold and a circle.
LA - eng
KW - Locally conformal symplectic manifolds; Locally conformal Kähler manifolds; Compact nilmanifolds
UR - http://eudml.org/doc/288467
ER -