4 papers
Transverse stable causality in Lorentzian foliations
Henrique Amador Puel Martins, Ivan Pontual Costa e Silva, Victor Luis Espinoza
We introduce and investigate a notion analogous to stable causality for Lorentzian foliations, considerably extending the framework of transverse causality initiated in a recent wo…
A Lifting principle of curves under exponential-type maps
Ivan P. Costa e Silva, José L. Flores
We develop a lifting theory for the exponential map of semi-Riemannian manifolds that overcomes the classical obstruction caused by its singularities. We show that every smooth pat…
Genericity of singularities in spacetimes with weakly trapped submanifolds
Ivan Pontual Costa e Silva, Victor Luis Espinoza
Using the standard Whitney topologies on spaces of Lorentzian metrics, we show that the existence of causal incomplete geodesics is a -generic feature within the class of…
A Hadamard theorem in transversely affine geometry with applications to affine orbifolds
Francisco C. Caramello, Henrique A. Puel Martins, Ivan P. Costa e Silva
We introduce and investigate a novel notion of transversely affine foliation, comparing and contrasting it to the previous ones in the literature. We then use it to give an extensi…