Smooth metric measure spaces, quasi-Einstein metrics, and tractors
type: Item
instance of: scholarly article
title: Smooth metric measure spaces, quasi-Einstein metrics, and tractors
zbMATH Open document ID: 1263.53038
author: Jeffrey S. Case
published in: Central European Journal of Mathematics
publication date: 2013-02-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/1110.3009
review text: The author extends the tractor formalism from conformal geometry to the study of smooth metric measure spaces. In particular, this gives rise to a correspondence between quasi-Einstein metrics and parallel sections of certain tractor bundles. Using this formulation, he gives a sharp upper bound on the dimension of the vector space of quasi-Einstein metrics, providing a different perspective on some recent results of \textit{C. He} et al. [``On the classification of warped product Einstein metrics'' (submitted), Preprint \url{arXiv:1010.5488}; ``Uniqueness of warped product Einstein metrics and applications'' (submitted), Preprint, \url{arXiv:1110.2456}].
reviewed by: Andreas Arvanitoyeorgos
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53A30
Mathematics Subject Classification ID: 53C07
zbMATH DE Number: 6137097
zbMATH Keywords: smooth metric measure space
zbMATH Keywords: quasi-Einstein
zbMATH Keywords: tractor bundle
zbMATH Keywords: holonomy
MaRDI profile type: Publication
OpenAlex ID: W2109521190
arXiv ID: 1110.3009
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DOI: 10.2478/S11533-012-0091-X
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description: scientific article