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SPECIAL SYMPLECTIC SIX-MANIFOLDS

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 29 May 2007Embargo end date: 01 Jan 2006 Italy English Publisher:Oxford University Press (OUP)Journal:The Quarterly Journal of Mathematics, volume 58, pages 297-311 (issn: 0033-5606, eissn: 1464-3847, Copyright policy )
Authors: CONTI D; TOMASSINI A;

doi: 10.1093/qmath/ham013 , 10.48550/arxiv.math/0601002

arXiv: math/0601002

handle: 10281/5321 , 11568/1159960 , 11381/1877342

SPECIAL SYMPLECTIC SIX-MANIFOLDS

Abstract

We classify nilmanifolds with an invariant symplectic half-flat structure. We solve the half-flat evolution equations in one example, writing down the resulting Ricci-flat metric. We study the geometry of the orbit space of 6-manifolds with an SU(3)-structure preserved by a U(1) action, giving characterizations in the symplectic half-flat and integrable case.

18 pages

Country
Italy
Related Organizations
Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), Nilmanifolds symplectic half-flat, 53C29 (Primary) 17B30, 53D05, 58A10 (Secondary), FOS: Mathematics, 510

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    popularity
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    influence
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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!
17
Average
Top 10%
Top 10%
Green
bronze