Geodesic
Ergodic Rotations of Nilmanifolds Conjugate to Their Inverses
Canadian mathematical bulletin, Tome 44 (2001) no. 4, pp. 429-439

Voir la notice de l'article provenant de la source Cambridge University Press

In answer to a question posed in [3], we give sufficient conditions on a Lie nilmanifold so that any ergodic rotation of the nilmanifold is metrically conjugate to its inverse. The condition is that the Lie algebra be what we call quasi-graded, and is weaker than the property of being graded. Furthermore, the conjugating map can be chosen to be an involution. It is shown that for a special class of groups, the condition of quasi-graded is also necessary. In certain examples there is a continuum of conjugacies.
DOI : 10.4153/CMB-2001-043-2
Mots-clés : 28Dxx, 22E25 
Henniger, J. P. Ergodic Rotations of Nilmanifolds Conjugate to Their Inverses. Canadian mathematical bulletin, Tome 44 (2001) no. 4, pp. 429-439. doi: 10.4153/CMB-2001-043-2
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