6 papers
Band Width Estimates and Rigidity of Manifolds with Negative Curvature
Tiarlos Cruz
We establish optimal Lipschitz lower bounds for proper smooth functions on three-dimensional Riemannian manifolds with Ricci curvature bounded below by negative constants, yielding…
Conformal Geometry and Spectral Bounds on Manifolds with Boundary
Tiarlos Cruz, Leandro F. Pessoa, Erisvaldo Véras
This work investigates upper bounds for the spectrum of the Steklov-type operator on Riemannian manifolds with boundary. We extend the Fraser-Schoen estimate for the first positive…
Area-charge inequalities and rigidity of time-symmetric initial data sets
Tiarlos Cruz, Abraão Mendes
In this paper, we establish new area-charge inequalities for the boundary of time-symmetric Einstein-Maxwell initial data sets, in both compact and noncompact cases, under the domi…
Exploring light propagation in nonlinear electrodynamics: phase and group velocities and related phenomena
T. W. Cruz, V. A. De Lorenci, E. Guzmán-Herrera +1
Nonlinear electrodynamics has been an important area of research for a long time. Investigations based on nonlinear Lagrangians, such as Euler-Heisenberg and Born-Infeld, are instr…
Curvature Deformations on Complete Manifolds with Boundary
Tiarlos Cruz, Almir Silva Santos
This paper investigates conformal deformations of the scalar curvature and mean curvature on complete Riemannian manifolds with boundary. We establish sufficient conditions for the…
Blow-up analysis of Large conformal metrics with prescribed Gaussian and geodesic curvatures
Rayssa Caju, Tiarlos Cruz, Almir Silva Santos
Consider a compact Riemannian surface with nonempty boundary and negative Euler characteristic. Given two smooth non-constant functions in and in w…