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arXiv · 1803.03894

Twistor geometry of Hermitian surfaces induced by canonical connections

Jixiang Fu·Xianchao Zhou
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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.

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Jixiang Fu, Xianchao Zhou. 2018-03-11. Twistor geometry of Hermitian surfaces induced by canonical connections. https://arxiv.org/abs/1803.03894

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