Topological dynamics on nilmanifolds
نویسندگان
چکیده
منابع مشابه
Topological Dynamics on Nilmanifolds
There has always been a lack of examples of compact manifolds which are minimal sets under the action of the real line, minimal meaning that each orbit is dense in the manifold. All tori admit such an action and G. A. Hedlund [4] has given examples of 3-manifolds having such an action. The action of a group T on a metric space X is said to be distal if for any two distinct points x, y&X the dis...
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A left invariant metric on a nilpotent Lie group is called minimal, if it minimizes the norm of the Ricci tensor among all left invariant metrics with the same scalar curvature. Such metrics are unique up to isometry and scaling and the groups admitting a minimal metric are precisely the nilradicals of (standard) Einstein solvmanifolds. If N is endowed with an invariant symplectic, complex or h...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1961
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1961-10592-2