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math.DG2026
A mass-type invariant for smooth metric measure spaces and its relation with the fractional Yamabe problem
Sergio Almaraz, Levi Lopes de Lima, Shaodong Wang
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 Rel…
math.DG2024
Critical domains for certain Dirichlet integrals in weighted manifolds
Levi Lopes de Lima
We start by revisiting the derivation of the variational formulae for the functional assigning to a bounded regular domain in a Riemannian manifold its first Dirichlet eigenvalue a…