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Tangent bundles to regular basic sets in hyperbolic dynamics
Tangent bundles hyperbolic dynamics
2010/11/26
Given a locally maximal compact invariant hyperbolic set for a C1 flow or diffeomorphism on a Riemann manifold with C1 unstable laminations, we construct an invariant continuous bundle of tangent ve...
Statistical structures on tangent bundles
statistical manifold, Norden metric tangent bundle vertical lift com-plete lift horizontal lift
2009/1/12
We study prolongations of statistical structures on manifolds to their tangent
bundles. We show that tangent bundles over flat statistical manifolds admit
natural almost complex statistical structur...