3 papers
math.DG2026
Area-charge inequalities and local rigidity of free boundary MOTS in charged initial data sets
Edilson Ferreira, Ivaldo Nunes
In this work, we prove area-charge inequalities for free boundary MOTS in initial data sets for the Einstein-Maxwell equations with vanishing magnetic fields. In addition, we prove…
math.DG2025
Rigidity of surfaces with nonpositive Euler characteristic by the second eigenvalue of the Jacobi operator
Márcio Batista, Marcos P. Cavalcante, Abraão Mendes +1
In this paper, we investigate the spectral properties of the Jacobi operator for immersed surfaces with nonpositive Euler characteristic, extending previous results in the field. W…
math.DG2024
Stability of extremal domains for the first eigenvalue of the Laplacian operator
Marcos P. Cavalcante, Ivaldo Nunes
In this paper, we compute the second variation of the first Dirichlet eigenvalue on extremal domains in general Riemannian manifolds and establish a criterion for stability. We cla…