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    • Homotopy classification of contact foliations on open contact manifolds

      MAHUYA DATTA SAUVIK MUKHERJEE

      Research Article Volume 128 Issue 5 November 2018 Article ID 0067

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/128/05/0067

    • 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

       

      MAHUYA DATTA1 SAUVIK MUKHERJEE2

      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

       
      Published
      5 November 2018
      Manuscript received
      14 January 2017
      Manuscript revised
      15 September 2017
      Accepted
      21 September 2017
      Early published
      Unedited version published online
      Final version published online
      25 October 2018

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