The length spectrum of riemannian two-step nilmanifolds
Ruth Gornet, Maura B. Mast (2000)
Annales scientifiques de l'École Normale Supérieure
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Ruth Gornet, Maura B. Mast (2000)
Annales scientifiques de l'École Normale Supérieure
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Vizman, Cornelia
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Summary: Geodesics and curvature of semidirect product groups with right invariant metrics are determined. In the special case of an isometric semidirect product, the curvature is shown to be the sum of the curvature of the two groups. A series of examples, like the magnetic extension of a group, are then considered.
Patrick Eberlein (1994)
Annales scientifiques de l'École Normale Supérieure
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Giovanni Calvaruso, Oldrich Kowalski (2009)
Open Mathematics
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We determine the admissible forms for the Ricci operator of three-dimensional locally homogeneous Lorentzian manifolds.
Aleksej Tralle (1989)
Commentationes Mathematicae Universitatis Carolinae
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