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Non-singular geodesic orbit nilmanifolds
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DOI：10.1007/s10231-026-01661-9.png)
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Abstract
En 中文
A Riemannian manifold is called a geodesic orbit manifold, GO for short, if any geodesic is an orbit of a one-parameter group of isometries. By a result of C.Gordon, a non-flat GO nilmanifold is necessarily a two-step nilpotent Lie group with a left-invariant metric. We give a complete classification of non-singular GO nilmanifolds. Besides previously known examples, there are new families with 3-dimensional center, and two one-parameter families of dimensions 14 and 15.
Keywords:
Non-singular nilmanifold
Geodesic orbit manifold
Journal
A
IF:
0.9
Papers:
75
Citations:
0
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Cited Papers