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- W2964293411 abstract "Abstract We study the geodesic orbit property for nilpotent Lie groups N endowed with a pseudo-Riemannian left-invariant metric. We consider this property with respect to different groups acting by isometries. When N acts on itself by left-translations we show that it is a geodesic orbit space if and only if the metric is bi-invariant. Assuming N is 2-step nilpotent and with non-degenerate center we give algebraic conditions on the Lie algebra n of N which imply that every geodesic is the orbit of a one-parameter subgroup of N.Auto(N). In addition we present an example of an almost g.o. space such that for null homogeneous geodesics, the natural parameter of the orbit is not always the affine parameter of the geodesic." @default.
- W2964293411 created "2019-07-30" @default.
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- W2964293411 date "2016-04-01" @default.
- W2964293411 modified "2023-10-18" @default.
- W2964293411 title "Homogeneous geodesics in pseudo-Riemannian nilmanifolds" @default.
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- W2964293411 doi "https://doi.org/10.1515/advgeom-2016-0007" @default.
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