arXiv subjects

R. M. Rubio

Publications and source records attributed to R. M. Rubio.

2 recordsLinked to original sources

arXiv2026

Dimensional reduction associated with unchanged direction trajectories in flat fiber Robertson Walker spacetimes

In this article, we establish a new dimensional reduction result in (Galilean or Lorentzian) Robertson Walker spacetimes with Euclidean fiber. In this context, we prove that every unchanged direction observer can be embedded into a three dimensional totally geodesic timelike submanifold.

math.DG↗

arXiv2016

Uniqueness and non-existence of minimal submanifolds

We provide uniqueness results for compact minimal submanifolds in a large class of Riemannian manifolds of arbitrary dimension. In the case compact and Cartan-Hadamard manifolds we obtain general results for these submanifolds. Several applications to Geometric Analysis are also showed.

math.DG↗