Journal of Symplectic Geometry
- J. Symplectic Geom.
- Volume 11, Number 3 (2013), 475-488.
On the Hofer geometry for weakly exact Lagrangian submanifolds
We use spectral invariants in Lagrangian Floer theory in order to show that there exist isometric embeddings of normed linear spaces (finite or infinite-dimensional, depending on the case) into the space of Hamiltonian deformations of certain weakly exact Lagrangian submanifolds in tame symplectic manifolds. In addition to providing a new class of examples in which the Lagrangian Hofer metric can be computed explicitly, we refine and generalize some known results about it.
J. Symplectic Geom., Volume 11, Number 3 (2013), 475-488.
First available in Project Euclid: 12 November 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Zapolsky, Frol. On the Hofer geometry for weakly exact Lagrangian submanifolds. J. Symplectic Geom. 11 (2013), no. 3, 475--488. https://projecteuclid.org/euclid.jsg/1384282845