A NOTE ON RIBAUCOUR TRANSFORMATIONS IN LIE SPHERE GEOMETRY

摘要

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) over cap of a Ribaucour transformation, via a single real function tau which represents the regular Ribaucour sphere congruence s enveloped by the original Legendre submanifold F.