IJPAM: Volume 69, No. 1 (2011)
IN POSITIVE CHARACTERISTIC AND
OSCULATING PLANES TO A SUBCURVE OF THEM
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]
Abstract. Let be an integral curve contained in a surface . When is the osculating plane of at a general equal to the tangent plane of at ? In positive characteristic we find for each ruled surface a curve as above and classify all such if is either a smooth quadric or a cone.
Received: January 11, 2011
AMS Subject Classification: 14H50, 14N05
Key Words and Phrases: strange curve, tangent developable, osculating space
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395