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- W4300667097 abstract "Using the tractor calculus to study smooth metric measure spaces, we adapt results of Gover and Nurowski to give sharp metric obstructions to the existence of quasi-Einstein metrics on suitably generic manifolds. We do this by introducing an analogue of the Weyl tractor $W$ to the setting of smooth metric measure spaces. The obstructions we obtain can be realized as tensorial invariants which are polynomial in the Riemann curvature tensor and its divergence. By taking suitable limits of their tensorial forms, we then find obstructions to the existence of static potentials, generalizing to higher dimensions a result of Bartnik and Tod, and to the existence of potentials for gradient Ricci solitons." @default.
- W4300667097 created "2022-10-04" @default.
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- W4300667097 date "2011-10-13" @default.
- W4300667097 modified "2023-09-25" @default.
- W4300667097 title "Sharp metric obstructions for quasi-Einstein metrics" @default.
- W4300667097 doi "https://doi.org/10.48550/arxiv.1110.3010" @default.
- W4300667097 hasPublicationYear "2011" @default.
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