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Essential points of conformal vector fields

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arxiv 1002.0482 v4 pith:YR5NVJSH submitted 2010-02-02 math.DG

Florin Belgun , Andrei Moroianu , Liviu Ornea This is my paper · ORCID
classification math.DG
keywords conformalessentialpointsvectorapplicationclasscomponentconnected
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abstract

For a conformal vector field $\xi$ on a Riemannian manifold, we say that a point is essential if there is no local metric in the conformal class for which $\xi$ is Killing. We show that the only essential points are isolated zeros of $\xi$. As an application, we show that every connected component of the zero set of $\xi$ is totally umbilical.

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  1. Gravitation in flat spacetime from entanglement

    hep-th 2019-08 conditional novelty 6.0 of 10

    The first law of entanglement, applied to a putative holographic dual of Minkowski spacetime, is shown to imply the linearized gravitational equations of motion in 3d and 4d, modulo assumed boundary stress-tensor conditions.

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