Geodesic
Closed orbits for the diagonal group and well-rounded lattices
Michael Levin1 ; Uri Shapira2 ; Barak Weiss3
1Ben Gurion University, Be-er Sheva, Israel
2Technion, Haifa, Israel
3Tel Aviv University, Israel
Groups, geometry, and dynamics, Tome 10 (2016) no. 4, pp. 1211-1225

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DOI

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.
DOI : 10.4171/ggd/380
Classification : 28-XX, 22-XX, 37-XX
Mots-clés : Closed orbits, diagonal group, well-rounded lattices

Michael Levin  1   ; Uri Shapira  2   ; Barak Weiss  3

1 Ben Gurion University, Be-er Sheva, Israel
2 Technion, Haifa, Israel
3 Tel Aviv University, Israel 
Michael Levin; Uri Shapira; Barak Weiss. Closed orbits for the diagonal group and well-rounded lattices. Groups, geometry, and dynamics, Tome 10 (2016) no. 4, pp. 1211-1225. doi: 10.4171/ggd/380
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     title = {Closed orbits for the diagonal group and well-rounded lattices},
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     pages = {1211--1225},
     year = {2016},
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     number = {4},
     doi = {10.4171/ggd/380},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/380/}
}
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