Higher Order Contact on Cayley’s Ruled Cubic Surface
نویسنده
چکیده
It is well known that Cayley’s ruled cubic surface carries a three-parameter family of twisted cubics sharing a common point, with the same tangent and the same osculating plane. We report on various results and open problems with respect to contact of higher order and dual contact of higher order for these curves.
منابع مشابه
Cayley’s surface revisited
Cayley’s (ruled cubic) surface carries a three-parameter family of twisted cubics. We describe the contact of higher order and the dual contact of higher order for these curves and show that there are three exceptional cases. 2000 Mathematics Subject Classification: 53A20, 53A25, 53A40.
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