Closed orbits for the diagonal group and well-rounded lattices
Michael Levin
Ben Gurion University, Be-er Sheva, IsraelUri Shapira
Technion, Haifa, IsraelBarak Weiss
Tel Aviv University, Israel
Abstract
Curt McMullen showed that every compact orbit for the action of the diagonal group on the space of lattices contains a well-rounded lattice. We extend this to all closed orbits.
Cite this article
Michael Levin, Uri Shapira, Barak Weiss, Closed orbits for the diagonal group and well-rounded lattices. Groups Geom. Dyn. 10 (2016), no. 4, pp. 1211–1225
DOI 10.4171/GGD/380