C^0-rigidity of the double Poisson bracket

Details C^0-rigidity of the double Poisson bracket C^0-rigidity of the double Poisson bracket

2008-07-27

arxiv.org/abs/0807.4275v2

Mathematics

Symplectic Geometry

Minor corrections, to appear in IMRN

Scientific paper

The paper is devoted to function theory on symplectic manifolds. We study a natural class of functionals involving the double Poisson brackets from the viewpoint of their robustness properties with respect to small perturbations in the uniform norm. We observe an hierarchy of such robustness properties. The methods involve Hofer's geometry on the symplectic side and Landau-Hadamard-Kolmogorov inequalities on the function-theoretic side.

Affiliated with

Also associated with

No associations

Rating

C^0-rigidity of the double Poisson bracket does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with C^0-rigidity of the double Poisson bracket, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and C^0-rigidity of the double Poisson bracket will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-144646