6 citations · 12 across the 15 of their papers we have counts for
15 papers
Translating solitons to higher order mean curvature flows in Riemannian products
Jorge Herbert Soares de Lira, Rafael Rocha de Farias
In this paper we prove existence and classification results for translating solitons defined as initial conditions for higher order mean curvature flows that are invariant by trans…
Energy in Fourth Order Gravity
Rodrigo Avalos, Jorge H. Lira, Nicolas Marque
In this paper we make a detailed analysis of conservation principles in the context of a family of fourth-order gravitational theories generated via a quadratic Lagrangian. In part…
On the Positive Energy Theorem for Stationary Solutions to Fourth-Order Gravity
Rodrigo Avalos, Paul Laurain, Jorge Lira
In this paper we prove a positive energy theorem related to fourth-order gravitational theories, which is a higher-order analogue of the classical ADM positive energy theorem of ge…
Einstein-type elliptic systems
Rodrigo Avalos, Jorge H. Lira
In this paper we analyse semi-linear systems of partial differential equations which are motivated by the conformal formulation of the Einstein constraint equations coupled with re…
On the proof of the Thin Sandwich Conjecture in arbitrary dimensions
R. Avalos, F. Dahia, C. Romero +1
In this paper we show the validity, under certain geometric conditions, of Wheeler's thin sandwich conjecture for higher dimensional theories of gravity. We extend the results show…
Mean curvature flow of Killing graphs
Jorge H. Lira, Gabriela A. Wanderley
We study a Neumann problem related to the evolution of graphs under mean curvature flow in Riemannian manifolds endowed with a Killing vector field. We prove that in a particular c…