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Homogeneous Ricci solitons are algebraic

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 02 Oct 2014Embargo end date: 01 Jan 2013 English Publisher:Mathematical Sciences PublishersJournal:Geometry & Topology, volume 18, pages 2,477-2,486 (issn: 1465-3060, eissn: 1364-0380, Copyright policy )Funded by:NSF | Symmetry in Solvmanifolds...
Authors: Jablonski, Michael;

doi: 10.2140/gt.2014.18.2477 , 10.48550/arxiv.1309.2515

arXiv: http://arxiv.org/abs/1309.2515

Homogeneous Ricci solitons are algebraic

Abstract

In this short note, we show that homogeneous Ricci solitons are algebraic. As an application, we see that the generalized Alekseevskii conjecture is equivalent to the Alekseevskii conjecture.

7 pages. minor changes from v1, final version to appear in Geometry & Topology

Related Organizations
Keywords

Mathematics - Differential Geometry, Einstein metric, 53C30, 53C25, homogeneous, algebraic soliton, Differential Geometry (math.DG), 53C25, 53C30, 53C44, 22E25, FOS: Mathematics, 22E25, Alekseevskii conjecture, Ricci soliton

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    		 40
    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.
    		 Top 10%
    influence
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    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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citations
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!
40
Top 10%
Top 10%
Top 10%
Green
bronze