Abstract
In the paper, by using a differential-geometric machinery, one computes the Maslov class for: a) Legendre curves on S3, with respect to any one of the three classical contact forms of S3; b) Legendre submanifolds for the classical contact structure of the cotangent unit spheres bundles of a Riemannian manifold N. In case b), and if N is flat, the Maslov class is determined by the mean curvature vector, and it vanishes if the Legendre submanifold is minimal.
Original language | English |
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Pages (from-to) | 289-301 |
Number of pages | 13 |
Journal | Journal of Geometry and Physics |
Volume | 3 |
Issue number | 3 |
DOIs | |
State | Published - 1986 |
Keywords
- Contact geometry
- Legendre submanifolds
- Maslov class
ASJC Scopus subject areas
- Mathematical Physics
- General Physics and Astronomy
- Geometry and Topology