• A class of totally geodesic foliations of Lie groups

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/100/01/0057-0064

    • Keywords

       

      Foliations; rank-1 Riemannian symmetric space; cutlocus

    • Abstract

       

      This paper is devoted to classifying the foliations ofG with leaves of the formgKh−1 whereG is a compact, connected and simply connected Lie group andK is a connected closed subgroup ofG such thatG/K is a rank-1 Riemannian symmetric space. In the case whenG/K=Sn, the homotopy type of space of such foliations is also given.

    • Author Affiliations

       

      G Santhanam1

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400 005, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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