February 27, 2024Open Access

On geodesic orbit nilmanifolds

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Resumen

The paper is devoted to the study of geodesic orbit Riemannian metrics on nilpotent Lie groups. The main result is the construction of continuous families of pairwise non-isomorphic connected and simply connected nilpotent Lie groups, every of which admits geodesic orbit metrics. The minimum dimension of groups in the constructed families is 10.

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Cite This Study

Yu. G. Nikonorov (Tue,) studied this question.

synapsesocial.com/papers/68e77797b6db6435876ec1d2 https://doi.org/https://doi.org/10.1016/j.geomphys.2024.105257

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