Dominated Splittings for Flows with singularities
classification
🧮 math.DS
math.CA
keywords
dominatedhyperbolicityinvariantobtaincompactconditionsflowflows
read the original abstract
We obtain sufficient conditions for an invariant splitting over a compact invariant subset of a $C^1$ flow $X_t$ to be dominated. In particular, we reduce the requirements to obtain sectional hyperbolicity and hyperbolicity.
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