Multiplicity of Lagrangian orbits on symmetric star-shaped hypersurfaces Original Research Article

In this paper, the multiplicity of Lagrangian orbits on C2C2 smooth compact symmetric star-shaped hypersurfaces ΣΣ with respect to the origin in View the MathML sourceR2n is studied. We prove an infinitely many existence result via View the MathML sourceZ2-index theory. This is a multiplicity result about the Arnold chord in some sense.