Hofer's diameter and Lagrangian intersections

Details Hofer's diameter and Lagrangian intersections Hofer's diameter and Lagrangian intersections

1998-01-12

arxiv.org/abs/math/9801054v1

Mathematics

Differential Geometry

LATEX, 7 pages

Scientific paper

We prove that the group of Hamiltonian diffeomorphisms of the 2-sphere has
infinite diameter with respect to Hofer's metric. Our approach is based on the
theory of Lagrangian intersections.

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