IJPAM: Volume 69, No. 1 (2011)
RULED SURFACES AS A TANGENT DEVELOPABLE
IN POSITIVE CHARACTERISTIC AND
OSCULATING PLANES TO A SUBCURVE OF THEM
IN POSITIVE CHARACTERISTIC AND
OSCULATING PLANES TO A SUBCURVE OF THEM
E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
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
Year: 2011
Volume: 69
Issue: 1