A mass-type invariant for smooth metric measure spaces and its relation with the fractional Yamabe problem

Le résumé fourni par la source

On an asymptotically Schwarzschild smooth metric measure space modelled on the Euclidean half-space, we define a mass-type quantity similar to the classical ADM mass in General Relativity and show its geometric invariance properties. Such quantity has a close relation with the fractional Yamabe problem and the relevant Green's function.

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