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Preprint . 2022
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On Hermitian manifolds whose Chern connection is Ambrose-Singer

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 21 Jun 2023Embargo end date: 01 Jan 2022 English Publisher:American Mathematical Society (AMS)Journal:Transactions of the American Mathematical Society (issn: 0002-9947, eissn: 1088-6850, Copyright policy )
Authors: Ni, Lei; Zheng, Fangyang;

doi: 10.1090/tran/8956 , 10.48550/arxiv.2208.10040

arXiv: 2208.10040

On Hermitian manifolds whose Chern connection is Ambrose-Singer

Abstract

We consider the class of compact Hermitian manifolds whose Chern connection is Ambrose-Singer, namely, it has parallel torsion and curvature. We prove structure theorems for such manifolds.

Related Organizations
Keywords

Mathematics - Differential Geometry, 53C55, 53C05, Differential Geometry (math.DG), Hermitian manifolds, Ambrose-Singer connections, FOS: Mathematics, Global differential geometry of Hermitian and Kählerian manifolds, Connections (general theory)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green