Generic metrics satisfy the generic condition
Differential Geometry
2017-01-26 v1 General Relativity and Quantum Cosmology
Abstract
We prove that the "generic condition" used in singularity theorems of general relativity is generic in the space of Lorentzian metrics on a given manifold, in the sense that it is satisfied for all metrics in a residual set in the Whitney -topology, for depending on the dimension of the manifold.
Keywords
Cite
@article{arxiv.1701.07199,
title = {Generic metrics satisfy the generic condition},
author = {Eric Larsson},
journal= {arXiv preprint arXiv:1701.07199},
year = {2017}
}
Comments
This is chapter two of arXiv:1406.6194v1, rewritten and improved