The Maslov class of some Legendre submanifolds

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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 languageEnglish
Pages (from-to)289-301
Number of pages13
JournalJournal of Geometry and Physics
Volume3
Issue number3
DOIs
StatePublished - 1986

Keywords

  • Contact geometry
  • Legendre submanifolds
  • Maslov class

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy (all)
  • Geometry and Topology

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