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arXiv · 1110.3009

Smooth metric measure spaces, quasi-Einstein metrics, and tractors

Jeffrey S. Case
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Abstract

We introduce 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. We use this formulation to give a sharp upper bound on the dimension of the vector space of quasi-Einstein metrics, providing a different perspective on some recent results of He, Petersen and Wylie.

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Jeffrey S. Case. 2012-07-27. Smooth metric measure spaces, quasi-Einstein metrics, and tractors. https://doi.org/10.2478/s11533-012-0091-x

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