Biharmonic and biconservative surfaces in Thurston geometriesMPIM

by Dorel Fetcu (Gheorghe Asachi Technical University of Iasi/MPIM)

Thursday May 22, 2025, 3:00 PM → 4:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPI-Oberseminar

We will explain first the notions of biharmonic and biconservative submanifolds in Riemannian manifolds. Then we will focus on surfaces with one of these properties in the eight 3-dimensional Thurston geometries (real space forms, product spaces, the Heisenberg group Nil, the solvmanifold Sol3, and the universal cover of PSL2(R)). We will present old and new results on their local and global geometry and will end with a recent study of these surfaces in Sol3.