Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 0973.58023
Izumiya, Shyuichi; Katsumi, Haruyo; Yamasaki, Takako
The rectifying developable and the spherical Darboux image of a space curve.
(English)
[A] Janeczko, Stanisław (ed.) et al., Geometry and topology of caustics - CAUSTICS '98. Proceedings of the Banach Center symposium, Warsaw, Poland, June 15-27, 1998. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 50, 137-149 (1999).

The paper deals with local properties of regular space curves with non-zero curvature $\kappa$ and torsion $\tau$. It is shown that in the space of such curves there is a residual set of curves which satisfies certain non-degeneracy conditions on the function $\tau/\kappa$. Also, the topologies of the spherical Darboux image, the rectifying Gaussian surface, and the rectifying developable are studied for curves meeting these non-degeneracy conditions.
[Tobias Ekholm (Uppsala)]
MSC 2000:
*58K20 Algebraic and analytic properties of mappings
53A04 Curves in Euclidean space

Keywords: regular space curves; non-degeneracy

Cited in: Zbl 1035.53024

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences