• Homotopy classification of contact foliations on open contact manifolds

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    • Keywords


      Contact manifolds; contact foliations; $h$-principle

    • Abstract


      We give a homotopy classification of foliations on open contact manifolds whose leaves are contact submanifolds of the ambient space. The result is an extension of Haefliger’s classification of foliations on open manifold in the contact setting. While proving the main theorem, we also prove a result on equidimensional isocontactimmersions on open contact manifolds.

    • Author Affiliations



      1. Statistics and Mathematics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata 700 108, India
      2. Department of Mathematics, Presidency University, 86/1, College Street, Kolkata 700 073, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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