5 citations · 9 across the 4 of their papers we have counts for
4 papers
On Ricci curvature and volume growth in dimension three
Martin Reiris
We prove that any complete metric on R^3 minus a ball with non-negative Ricci curvature and quadratic Ricci-curvature decay, has cubic volume growth.
Linear perturbations for the vacuum axisymmetric Einstein equations
Sergio Dain, Martín Reiris
In axial symmetry, there is a gauge for Einstein equations such that the total mass of the spacetime can be written as a conserved, positive definite, integral on the spacelike sli…
Scalar curvature, isoperimetric collapse and General Relativity in the Constant Mean Curvature gauge
Martin Reiris
We discuss a set of relations, set in the form of results, conjectures and problems, between the L^{2}-norm of the Ricci curvature of a 3-manifold, the scalar curvature and the vol…
Geometric relations of stable minimal surfaces and applications
Martin Reiris
We establish some a priori geometric relations on stable minimal surfaces lying inside three-manifolds with scalar curvature uniformly bounded below. The relations are based on a s…