CURVES WITH ASYMPTOTIC GEODESICS
نویسندگان
چکیده
منابع مشابه
Asymptotic Curves and Geodesics on Surfaces
In this chapter we begin a study of special curves lying on surfaces in R. An asymptotic curve on a surface M ⊂ R is a curve whose velocity always points in a direction in which the normal curvature of M vanishes. In some sense, M bends less along an asymptotic curve than it does along a general curve. As a simple example, the straight lines on the cylinder (u, v) 7→ (cosu, sinu, v) formed by s...
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ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 2002
ISSN: 1340-6116
DOI: 10.2206/kyushujm.56.137