I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2010, VOLUME 16, NUMBER 1, PAGES 65-79
-webs on hypersurfaces of
V. V. Zabrodin
View as HTML
View as gif image
V. B. Lazareva investigated -webs formed by shadow
lines on a surface embedded in -dimensional projective
space is assuming that the lighting sources are situated on
The results were used, in particular, for the solution of Blaschke
problem of classification of regular -webs formed by pencils of
circles in a plane.
In the present paper, we consider a -web formed by shadow surfaces
on a hypersurface embedded in -dimensional projective
space assuming that the lighting sources are situated on straight lines.
We call the projective -space with fixed straight lines
Structure equations of -axial space and of the
asymptotic tensor of , torsions and curvatures
of -web , and connection form of
invariant affine connection associated with -web are found.
Last modified: March 11, 2011