• Contact and isocontact embedding of $\pi$-manifolds

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      https://www.ias.ac.in/article/fulltext/pmsc/130/0052

    • Keywords

       

      Contact structures; embedding; $h$-principle.

    • Abstract

       

      We prove some contact analogs of smooth embedding theorems for closed $\pi$-manifolds. We show that a closed, $k$-connected, $\pi$-manifold of dimension $(2n + 1)$ that bounds a $\pi$-manifold, contact embeds in the $(4n − 2k + 3)$-dimensional Euclideanspace with the standard contact structure. We also prove some isocontact embedding results for π-manifolds and parallelizable manifolds.

    • Author Affiliations

       

      Kuldeep Saha1

      1. Chennai Mathematical Institute, H1, SIPCOT IT Park, Siruseri, Kelambakkam 603 103, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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