Some recent progress in non-Kähler geometry

Some recent progress in non-Kähler geometry

In this paper, we discuss some recent progress in the study of non-Kähler manifolds, in particular the Hermitian geometry of flat canonical connections and Kähler-like connections. We also discuss a number of conjectures and open questions in this direction.

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Veröffentlicht in:Science China. Mathematics 2019-11, Vol.62 (11), p.2423-2434
1. Verfasser: Zheng, Fangyang
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
Reviews
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Zusammenfassung:In this paper, we discuss some recent progress in the study of non-Kähler manifolds, in particular the Hermitian geometry of flat canonical connections and Kähler-like connections. We also discuss a number of conjectures and open questions in this direction.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-019-9528-1