Metrics without isometries are generic

Abstract

We prove that for any compact manifold of dimension greater than $1$, the set of pseudo-Riemannian metrics having a trivial isometry group contains an open and dense subset of the space of metrics.

Monatshefte für Mathematik (2014) pp

Cited by in corpus (2)

• Stability and Genericity Aspects of Properties of Space-times in General Relativity
• Linearization Stability of Einstein Field Equations is a Generic Property