Sergio Romaña

Partially hyperbolic geodesic flow via conformal deformation

This paper presents a new construction of non-Anosov partially hyperbolic geodesic flows. Our construction is closely related to the construction presented in [10] , the novelty is the use of conformal deformations to produce the examples. Some of the necessary conditions appear...

A Generalization of Marstrand’s Theorem and Some Geometric Applications

Abstract In this paper we prove using quite elementary methods, with a combinatorial nature, two general results related to Marstrand’s projection theorem in a quite general formulation over metric spaces under a suitable transversality condition (the “projections" are in princip...