4 citations · 4 across the 8 of their papers we have counts for
6 papers · 1 filter
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…
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…
On the genericity of singularities in spacetimes with weakly trapped submanifolds
Victor Luis Espinoza, Ivan Pontual Costa e Silva
We investigate suitable, physically motivated conditions on spacetimes containing certain submanifolds - the so-called {weakly trapped submanifolds} - that ensure, in a set of neig…
Transverse Geometry of Lorentzian foliations with applications to Lorentzian orbifolds
Francisco C. Caramello, Henrique A. Puel Martins, Ivan P. Costa e Silva
We prove a transverse diameter theorem in the context of Lorentzian foliations, which can be interpreted as a Hawking--Penrose-type singularity theorem for timelike geodesics trans…
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…