In my calculations, I come across the scalar(adsbygoogle = window.adsbygoogle || []).push({});

[tex]R^{ji} R_{ij} - R^2[/tex]

([tex]R_{ij}[/tex] is the Ricci tensor, [tex]R[/tex] is the Ricci scalar)

More specifically, I come across the integral of this scalar over a compact manifold.

Has anyone seen it before, and does it have any nice properties?

John Schulman

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# Has anyone seen this scalar?

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