Closed orbits for the diagonal group and well-rounded lattices

Michael Levin; Uri Shapira; Barak Weiss

doi:10.4171/ggd/380

JournalsggdVol. 10, No. 4pp. 1211–1225

Closed orbits for the diagonal group and well-rounded lattices

Michael Levin
Ben Gurion University, Be-er Sheva, Israel
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Uri Shapira
Technion, Haifa, Israel
- MathSciNet
- zbMATH Open
Barak Weiss
Tel Aviv University, Israel
- MathSciNet
- zbMATH Open

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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