Bihermitian metrics on Hopf surfaces
Differential Geometry
2007-10-12 v1 Mathematical Physics
math.MP
Abstract
Inspired by a construction due to Hitchin, we produce strongly bihermitian metrics on certain Hopf complex surfaces, which integrate the locally conformally Kaehler metrics found by Gauduchon and Ornea. We also show that the Inoue complex surfaces with zero second Betti number do not admit bihermitian metrics. This completes the classification of the compact complex surfaces admitting strongly bihermitian metrics.
Keywords
Cite
@article{arxiv.0710.2266,
title = {Bihermitian metrics on Hopf surfaces},
author = {Vestislav Apostolov and Georges Dloussky},
journal= {arXiv preprint arXiv:0710.2266},
year = {2007}
}