Geodesic Webs of Hypersurfaces

Details Geodesic Webs of Hypersurfaces Geodesic Webs of Hypersurfaces

2008-12-11

arxiv.org/abs/0812.2126v1

Mathematics

Differential Geometry

11 pages, in Russian

Scientific paper

In the present paper we study geometric structures associated with webs of hypersurfaces. We prove that with any geodesic (n+2)-web on an n-dimensional manifold there is naturally associated a unique projective structure and, provided that one of web foliations is pointed, there is also associated a unique affine structure. The projective structure can be chosen by the claim that the leaves of all web foliations are totally geodesic, and the affine structure by an additional claim that one of web functions is affine. These structures allow us to determine differential invariants of geodesic webs and give geometrically clear answers to some classical problems of the web theory such as the web linearization and the Gronwall theorem.

Affiliated with

Also associated with

No associations

Rating

Geodesic Webs of Hypersurfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geodesic Webs of Hypersurfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geodesic Webs of Hypersurfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-60612