15. ÖMG-Kongress
Jahrestagung der Deutschen Mathematikervereinigung

16. bis 22. September 2001 in Wien

Sektion 6 - Topologie, Differentialgeometrie
Freitag, 21. September 2001, 16.30, Hörsaal NIG III

 

On a class of hexagonal-web of spheres

Hakki Ismail Erdogan, Kadir Has University, Istanbul

 

In this work, we consider four one-parameter families of spheres which do not belong to the same bundle with the additional condition that the three families of spheres cut the spheres of the fourth familiy in a hexagonal three-web formed by the three families of curves defined by the equations

$x^2+y^2+a^2+u_{1}x=0,~~~~~ y-u_{2}x=0,~~~~~ x^2+y^2-{u_3}=0,~~~~~ (a\in R, a\ne 0)$.

Then, we determine these four families of spheres so that form a surface 6-web.

[1]	H.I.Erdogan,Triples of circle-pencils forming a hexagonal three-web in $E^2$, journal of Geometry 35 (1989),39-65

E-Mail:

erdogan@khas.edu.tr

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