F Etayo Gordejuela and R Santamaría 2001 J. Phys. A: Math. Gen. 34 981 doi:10.1088/0305-4470/34/5/304
The canonical connection of a bi-Lagrangian manifold
F Etayo Gordejuela and R Santamaría
Show affiliationsWe prove that the canonical connection of a bi-Lagrangian manifold introduced by Hess is a Levi-Civita connection, showing that a bi-Lagrangian manifold (i.e. a symplectic manifold endowed with two transversal Lagrangian foliations) is endowed with a canonical semi-Riemannian metric.
- PACS
- MSC
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53D05 Symplectic manifolds, general
53C12 Foliations (differential geometric aspects) (See also 57R30, 57R32)
- Subjects
- Dates
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Issue 5 (9 February 2001)
Received 28 March 2000
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The canonical connection of a bi-Lagrangian manifold
F Etayo Gordejuela and R Santamaría 2001 J. Phys. A: Math. Gen. 34 981
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