February 27, 2024Open Access

On geodesic orbit nilmanifolds

Key Points

Key points are not available for this paper at this time.

Abstract

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.

Read Full Paperexternally

AI에게 질문

Bookmark

View Full Paper

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

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Geodesic orbit Riemannian structures on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e19" altimg="si2.gif"><mml:msup><mml:mrow><mml:mi mathvariant="bold">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>2018 · 20 citations
2Generalized normal homogeneous Riemannian metrics on spheres and projective spaces2013 · 15 citations
3On the Geometry of Groups of Heisenberg Type1983 · 200 citations
4Two-step nilpotent Lie algebras1967 · 41 citations
5The fine structure of transitive Riemannian isometry groups. I1985 · 13 citations

AI에게 질문

Bookmark

View Full Paper