Twistor geometry of Hermitian surfaces induced by canonical connections
Differential Geometry
2018-03-13 v1
Abstract
In this paper, following the constructions of N. R. O'Brian, J. H. Rawnsley and I. Vaisman, we define four almost Hermitian structures (up to conjugation) on the twistor space of a Hermitian surface by using canonical connections, including the Lichnerowicz connection and the Chern connection. We also study the relations between the natural geometry of the twistor spaces and the geometry of Hermitian surfaces.
Keywords
Cite
@article{arxiv.1803.03894,
title = {Twistor geometry of Hermitian surfaces induced by canonical connections},
author = {Jixiang Fu and Xianchao Zhou},
journal= {arXiv preprint arXiv:1803.03894},
year = {2018}
}