The geometry of a bi-Lagrangian manifold

By F. Etayo, Rafael Santamar'ia, Uju'e R. Tr'ias. 2004

77 citations recorded by the source corpus.

Abstract This is a survey on bi-Lagrangian manifolds, which are symplectic manifolds endowed with two transversal Lagrangian foliations. We also study the non-integrable case (i.e., a symplectic manifold endowed with two transversal Lagrangian distributions). We show that many different geometric structures can be attached to these manifolds and we carefully analyze the associated connections. Moreover, we introduce the problem of the intersection of the two leaves, one of each foliation, through a point and show a lot of significative examples.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f3a53c21bc18d76efe38b9d2db1e7d2ecfe2c168

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Dmitri Alekseevsky
2. C. Medori
3. Adriano Tomassini

In Geometry and Topology

1. Dmitri Alekseevsky
2. C. Medori
3. Adriano Tomassini

In Mathematical Physics

1. Dmitri Alekseevsky
2. C. Medori
3. Adriano Tomassini

Citations in the corpus

• Homogeneous para-Kähler Einstein manifolds (2009, background): “The papers [8], [9] are devoted to para-Hermitian and para-Kähler geometry.”