Andreas Hofer

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Hofer-Zehnder capacity and length minimizing paths in the Hofer norm

We use the criteria of Lalonde and McDuff to determine a new class of examples of length minimizing paths in the group Ham(M). For a compact symplectic manifold M of dimension two or four, we show that a path inHam(M), generated by an autonomous Hamiltonian and starting at the identity, which induces no non-constant closed trajectories of points in M , is length minimizing among all homotopic p...

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ژورنال

عنوان ژورنال: Archiv für Musikwissenschaft

سال: 1918

ISSN: 0003-9292

DOI: 10.2307/929878