2013/03/08 by Jianquan Ge, Ge, Jianquan
Mathematics · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications #math.DG #msc:53A40 #msc:53C40
paper · pdf · doi:10.48550/arxiv.1303.1862
8 pages
arxiv created 2013/03/08 · arxiv updated 2013/03/11
Following Burstall and Hertrich-Jeromin we study the Ribaucour transformation of Legendre submanifolds in Lie sphere geometry. We give an explicit parametrization of the resulted Legendre submanifold F of a Ribaucour transformation, via a single real function τ which represents the regular Ribaucour sphere congruence s enveloped by the original Legendre submanifold F.