THE GEOMETRY OF MAXIMAL FLAT SUBMANIFOLDS OF SYMMETRIC SPACES

Bart Michels (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

Motivated by spectral asymptotics for orbital integrals in a relative trace formula, we generalize a number of geometric properties of geodesics in the hyperbolic plane, to maximal flat submanifolds of symmetric spaces of non-compact type.

Domaines: Géométrie différentielle [math.DG]

Bart Michels. THE GEOMETRY OF MAXIMAL FLAT SUBMANIFOLDS OF SYMMETRIC SPACES. 2022. ⟨hal-03695042⟩