English

Chekanov-type theorem for spherized cotangent bundles

Symplectic Geometry 2016-03-01 v1 Differential Geometry

Abstract

We prove a Chekanov-type theorem for the spherization of the cotangent bundle STBST^*B of a closed manifold BB. It claims that for Legendrian submanifolds in STBST^*B the property "to be given by a generating family quadratic at infinity" persists under Legendrian isotopies.

Keywords

Cite

@article{arxiv.1602.08743,
  title  = {Chekanov-type theorem for spherized cotangent bundles},
  author = {Petr E. Pushkar},
  journal= {arXiv preprint arXiv:1602.08743},
  year   = {2016}
}
R2 v1 2026-06-22T12:59:27.769Z