7 papers
Classification of Minimal Surfaces and Solitons to the Mean Curvature Flow in as Translation Surfaces
Tarcios Andrey Ferreira, João Paulo dos Santos
We consider the hyperbolic three-space in the half-space model endowed with a metric Lie group structure. In this setting, translation surfaces are defined as products of two curve…
Stationary surfaces of height-dependent weighted area functionals in and
Antonio Martínez, A. L. Martínez-Triviño, J. P. dos Santos
We describe a general correspondence between weighted minimal surfaces in and weighted maximal surfaces with some admissible singularities in , for a c…
Uniqueness of static vacuum asymptotically flat black holes and equipotential photon surfaces in dimensions à la Robinson
Carla Cederbaum, Albachiara Cogo, Benedito Leandro +1
In this paper, we combine and generalize to higher dimensions the approaches to proving the uniqueness of connected (3+1)-dimensional static vacuum asymptotically flat black hole s…
Rotators-Translators to Mean Curvature Flow in
Ronaldo F. de Lima, Álvaro K. Ramos, João Paulo dos Santos
We establish the existence of one-parameter families of helicoidal surfaces of which, under mean curvature flow, simultaneously rotate about a vertical…
Topology at infinity of complete gradient Schouten solitons
Valter Borges, Hector Rosero-Garcia, João Paulo dos Santos
In this paper, we study ends of complete gradient non-trivial Schouten solitons. Without any additional assumptions, we show the shrinking ones have finitely many ends, and the exp…
Ends of shrinking gradient -Einstein solitons
Valter Borges, Hector Rosero-García, João Paulo dos Santos
We prove that all ends of a gradient shrinking -Einstein soliton are -non-parabolic, provided is nonnegative and the soliton has bounded and nonnegative scalar curvature,…