Classification of partially hyperbolic surface endomorphisms
Sign Up to like & getrecommendations! Published in 2022 at "Geometriae Dedicata"
DOI: 10.1007/s10711-022-00684-9
Abstract: We show that in the absence of periodic centre annuli, a partially hyperbolic surface endomorphism is dynamically coherent and leaf conjugate to its linearisation. We proceed to characterise the dynamics in the presence of periodic… read more here.
Keywords: partially hyperbolic; surface endomorphisms; hyperbolic surface; classification partially ... See more keywords
Classification of partially hyperbolic diffeomorphisms under some rigid conditions
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2020.85
Abstract: Abstract Consider a three-dimensional partially hyperbolic diffeomorphism. It is proved that under some rigid hypothesis on the tangent bundle dynamics, the map is (modulo finite covers and iterates) an Anosov diffeomorphism, a (generalized) skew-product or… read more here.
Keywords: classification partially; hyperbolic diffeomorphisms; partially hyperbolic; diffeomorphisms rigid ... See more keywords