科研之友
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摘要
We provide a refinement of the Poincar, inequality on the torus : there exists a set of directions such that for every there is a with The derivative does not detect any oscillation in directions orthogonal to , however, for certain the geodesic flow in direction is sufficiently mixing to compensate for that defect. On the two-dimensional torus the inequality holds for but is not true for . Similar results should hold at a great level of generality on very general domains.
- 出版日期2016-10
