A NOTE ON RIBAUCOUR TRANSFORMATIONS IN LIE SPHERE GEOMETRY
2015 年 67 巻 2 号 p. 273-280
詳細
2015 年 67 巻 2 号 p. 273-280
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 $\hat{F}$ of a Ribaucour transformation, via a single real function $\tau$ which represents the regular Ribaucour sphere congruence $s$ enveloped by the original Legendre submanifold $F$.
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