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On the equivalence of generalized Ricci curvatures

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 24 Mar 2025Embargo end date: 01 Jan 2024 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society (issn: 0002-9939, eissn: 1088-6826, Copyright policy )Funded by:NWO | Holonomy of metric connec...
Authors: Cavalcanti, Gil r.; Pedregal, Jaime; Rubio, Roberto;

doi: 10.1090/proc/17165 , 10.48550/arxiv.2406.06695

arXiv: 2406.06695

On the equivalence of generalized Ricci curvatures

Abstract

We prove the equivalence between the several notions of generalized Ricci curvature found in the literature. As an application, we characterize when the total generalized Ricci tensor is symmetric.

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Keywords

Mathematics - Differential Geometry, High Energy Physics - Theory, Duality, generalized Ricci curvature, FOS: Physical sciences, Applications of differential geometry to physics, Differential Geometry (math.DG), High Energy Physics - Theory (hep-th), Mathematics - Symplectic Geometry, generalized connections, FOS: Mathematics, Symplectic Geometry (math.SG), Generalized geometries (à la Hitchin), Courant algebroids

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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
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