Hamiltonian non-displaceability of Gauss images of isoparametric hypersurfaces

TL;DR

This paper investigates the Hamiltonian non-displaceability of Gauss images of isoparametric hypersurfaces in spheres, demonstrating their properties as Lagrangian submanifolds within complex hyperquadrics.

Contribution

It provides new insights into the Hamiltonian non-displaceability of these Gauss images, linking geometric properties of hypersurfaces to symplectic topology.

Findings

Gauss images are Hamiltonian non-displaceable Lagrangian submanifolds.

Establishes a connection between isoparametric hypersurfaces and symplectic geometry.

Advances understanding of Lagrangian embeddings in complex hyperquadrics.

Abstract

In this article we study the Hamiltonian non-displaceability of Gauss images of isoparametric hypersurfaces in the spheres as Lagrangian submanifolds embedded in complex hyperquadrics.