1 citations · 1 across the 8 of their papers we have counts for
8 papers
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…
Mass, center of mass and isoperimetry in asymptotically flat -manifolds
Sergio Almaraz, Levi Lopes de Lima
We revisit the interplay between the mass, the center of mass and the large scale behavior of certain isoperimetric quotients in the setting of asymptotically flat -manifolds (b…
The generalized Poho{z}aev-Schoen identity and some geometric applications
Ezequiel Barbosa, Levi Lopes de Lima, Allan Freitas
In this note we show how a generalized Pohozaev-Schoen identity due to Gover and Orsted \cite{GO} can be used to obtain some rigidity results for -static manifolds and generaliz…
Deformation and rigidity results for the 2k-Ricci tensor and the 2k-Gauss-Bonnet curvature
Tiago Caúla, Levi Lopes de Lima, Newton Luis Santos
We present several deformation and rigidity results within the classes of closed Riemannian manifolds which either are -Einstein (in the sense that their -Ricci tensor is c…
On the index of constant mean curvature 1 surfaces in hyperbolic space
Levi Lopes de Lima, Wayne Rossman
We show that the index of a constant mean curvature 1 surface in hyperbolic 3-space is completely determined by the compact Riemann surface and secondary Gauss map that represent i…
Lower bounds for index of Wente tori
Levi Lopes de Lima, Vicente Francisco de Sousa Neto, Wayne Rossman
We show numerically that any of the constant mean curvature tori first found by Wente must have index at least eight.