Zobrazeno 1 - 10
of 97
pro vyhledávání: '"de Lima, Levi Lopes"'
Autor:
de Lima, Levi Lopes
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 and extend it to (not necessarily bounded) domains in certain weighted
Externí odkaz:
http://arxiv.org/abs/2409.03554
We provide a harmonic level set proof of the positive mass theorem for asymptotically flat $3$-manifolds with a non-compact boundary first established by Almaraz-Barbosa-de Lima.
Comment: 10 pages; no figures
Comment: 10 pages; no figures
Externí odkaz:
http://arxiv.org/abs/2306.09097
Autor:
de Lima, Levi Lopes
We study the deformation theory of Einstein-Yang-Mills fields over conformally compact, asymptotically locally hyperbolic manifolds. We prove that if an Einstein-Yang-Mills field $(g_0,\omega_0)$ is trivial (which means that $g_0$ is Poincar\'e-Einst
Externí odkaz:
http://arxiv.org/abs/2304.05373
Autor:
de Lima, Levi Lopes
We study the scalar curvature of incomplete wedge metrics in certain stratified spaces with a single singular stratum (wedge spaces). Building upon several well established technical tools for this category of spaces (the corresponding Yamabe, ellipt
Externí odkaz:
http://arxiv.org/abs/2301.05047
Autor:
de Lima, Levi Lopes
In this largely expository note, we discuss the mapping properties of the Laplacian (and other geometric elliptic operators) in spaces with an isolated conical singularity following the approach developed by B.-W. Schulze and collaborators. Our prese
Externí odkaz:
http://arxiv.org/abs/2207.02568
Autor:
Almaraz, Sergio, de Lima, Levi Lopes
We single out a notion of staticity which applies to any domain in hyperbolic space whose boundary is a non-compact totally umbilical hypersurface. For (time-symmetric) initial data sets modeled at infinity on any of these latter examples, we formula
Externí odkaz:
http://arxiv.org/abs/2206.09768
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series (2021)
We define a notion of extrinsic black hole in pure Lovelock gravity of degree $k$ which captures the essential features of the so-called Lovelock-Schwarzschild solutions, viewed as rotationally invariant hypersurfaces with null $2k$-mean curvature in
Externí odkaz:
http://arxiv.org/abs/2107.03037
Autor:
de Lima, Levi Lopes
Publikováno v:
Annals of Global Analysis and Geometry (2022)
We first show that existence results due to Kazdan-Warner and Cruz-Vit\'orio can be extended to the category of manifolds with an isolated conical singularity. More precisely, we check that, under suitable conditions on the link manifold, any bounded
Externí odkaz:
http://arxiv.org/abs/2104.13882
Conserved quantities in General Relativity: the case of initial data sets with a noncompact boundary
Autor:
de Lima, Levi Lopes
It is well-known that considerations of symmetry lead to the definition of a host of conserved quantities (energy, linear momentum, center of mass, etc.) for an asymptotically flat initial data set, and a great deal of progress in Mathematical Relati
Externí odkaz:
http://arxiv.org/abs/2103.06061
Autor:
Almaraz, Sergio, de Lima, Levi Lopes
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 $3$-manifolds (both without and with a non-compact boundary). In the boundaryless case
Externí odkaz:
http://arxiv.org/abs/2007.10920