Submanifolds with nonparallel first normal bundle revisited

Details Submanifolds with nonparallel first normal bundle revisited Submanifolds with nonparallel first normal bundle revisited

2011-05-04

arxiv.org/abs/1105.0808v1

Mathematics

Differential Geometry

11 pages

Scientific paper

In this paper, we analyze the geometric structure of an Euclidean submanifold whose osculating spaces form a nonconstant family of proper subspaces of the same dimension. We prove that if the rate of change of the osculating spaces is small, then the submanifold must be a (submanifold of a) ruled submanifold of a very special type. We also give a sharp estimate of the dimension of the rulings.

Affiliated with

Also associated with

No associations

Rating

Submanifolds with nonparallel first normal bundle revisited 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 Submanifolds with nonparallel first normal bundle revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Submanifolds with nonparallel first normal bundle revisited will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-689496