3 papers
math.DG2022
Mean curvature flow of graphs in Generalized Robertson-Walker spacetimes with perpendicular Neumann boundary condition
Jorge Lira, Fernanda Roing
We prove the longtime existence for the mean curvature flow problem with a perpendicular Neumann boundary condition in a Generalized Robertson Walker (GRW) spacetime that obeys the…
gr-qc2019
Reduced thin-sandwich equations on manifolds euclidean at infinity and on closed manifolds: existence and multiplicity
Rodrigo Avalos, Jorge H. Lira
The reduced thin-sandwich equations (RTSE) appear within Wheeler's thin-sandwich approach towards the Einstein constraint equations (ECE) of general relativity. It is known that th…
math.DG2016
Entire unbounded constant mean curvature Killing graphs
Marcos Dajczer, Jorge H. de Lira
In this paper, we provided conditions for an entire constant mean curvature Killing graph lying inside a possible unbounded region to be necessarily a slice.