Hofer, H. Estimates for the energy of a symplectic map. (English) Zbl 0787.58017 Comment. Math. Helv. 68, No. 1, 48-72 (1993). A bi-invariant metric \(d\) for the compactly supported symplectic diffeomorphism group is studied. Estimates for \(d\)-distance in terms of \(C^ 0\)-data are obtained. Reviewer: H.D.Voulov (Sofia) Cited in 1 ReviewCited in 24 Documents MSC: 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems Keywords:energy; bi-invariant metric; symplectic diffeomorphism group PDFBibTeX XMLCite \textit{H. Hofer}, Comment. Math. Helv. 68, No. 1, 48--72 (1993; Zbl 0787.58017) Full Text: DOI EuDML