Sökning: "cocycel rigiditet"

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  1. 1. Local Rigidity of Some Lie Group Actions

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Sven Sandfeldt; [2020]
    Nyckelord :Mathematics; dynamical systems; smooth dynamical systems; local rigidity; cocycle rigidity; higher rank actions; Nash-Moser inverse function theorem; Matematik; dynamiska system; släta dynamiska system; lokal rigiditet; cocycel rigiditet; högre rank gruppverkan; Nash-Moser inversa funktionssats;

    Sammanfattning : In this paper we study local rigidity of actions of simply connected Lie groups. In particular, we apply the Nash-Moser inverse function theorem to give sufficient conditions for the action of a simply connected Lie group to be locally rigid. Let $G$ be a Lie group, $H < G$ a simply connected subgroup and $\Gamma < G$ a cocompact lattice. LÄS MER